Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bf |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
1.0352298629616E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1253583,-228079132] |
[a1,a2,a3,a4,a6] |
Generators |
[-485046:12855790:729] |
Generators of the group modulo torsion |
j |
2962886963200000/1407889383453 |
j-invariant |
L |
4.5593250697693 |
L(r)(E,1)/r! |
Ω |
0.14950217568735 |
Real period |
R |
7.6241785030133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999942212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925bt1 16275bb1 |
Quadratic twists by: 5 -7 |