Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28980i |
Isogeny class |
Conductor |
28980 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-7.3073764285452E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3415872,2464527364] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:-6615:1] |
Generators of the group modulo torsion |
j |
-23618971583050153984/391556092921875 |
j-invariant |
L |
6.0338526450294 |
L(r)(E,1)/r! |
Ω |
0.19457368019154 |
Real period |
R |
0.43070321163811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
115920em2 9660e2 |
Quadratic twists by: -4 -3 |