Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352k |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2446736098328576 = 226 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84044,-9070960] |
[a1,a2,a3,a4,a6] |
Generators |
[12864:207460:27] |
Generators of the group modulo torsion |
j |
250440136856937/9333557504 |
j-invariant |
L |
6.6205717178199 |
L(r)(E,1)/r! |
Ω |
0.28103976119489 |
Real period |
R |
3.9262366824709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352h1 15088c1 |
Quadratic twists by: -4 8 |