Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635q |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
3346625141015625 = 312 · 58 · 73 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58095,-4600800] |
[a1,a2,a3,a4,a6] |
j |
86720652499447/13383984375 |
j-invariant |
L |
2.4856454991851 |
L(r)(E,1)/r! |
Ω |
0.31070566095894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545u1 103635be1 |
Quadratic twists by: -3 -7 |