Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75850l |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
777462500000000 = 28 · 511 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65688,6312281] |
[a1,a2,a3,a4,a6] |
Generators |
[129:13:1] |
Generators of the group modulo torsion |
j |
2006144524069561/49757600000 |
j-invariant |
L |
15.202264355483 |
L(r)(E,1)/r! |
Ω |
0.50318646130963 |
Real period |
R |
3.7764987538773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170f1 |
Quadratic twists by: 5 |