Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995f |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.5636234526815E+26 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-453167791583,-117418424133067144] |
[a1,a2,a3,a4,a6] |
Generators |
[-2140213778270120879302923373369297201182822761598769834011185965306118434428402158811194676505585544910625950268405509465954482625019994154003934448066722280164120901189372908374252277717064393410324111217393342227127756639557565822689776952611:1078283318899365254905172254285223913471975836040654360637089459549199957249328302168686656403615125251146349383271225053024352997788614179751788594996146282253173058376812043235620128280562944242650569158453951386448283699331453928642431293313:5506690672257534502214576098472245192829069438847541091644095387911994987563849240535732855014527928600840411045007467291136974744619596913605212440536695462146823289130860970430741671404084534510595414048055808582582510837994971242761039] |
Generators of the group modulo torsion |
j |
14118003642930191074825780031937150121/900359870052337646484375 |
j-invariant |
L |
4.3374083680388 |
L(r)(E,1)/r! |
Ω |
0.0058188182980479 |
Real period |
R |
372.70525954505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25665l4 |
Quadratic twists by: -3 |