Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bk |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13647872 |
Modular degree for the optimal curve |
Δ |
8.795403225E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116855376,486224962560] |
[a1,a2,a3,a4,a6] |
j |
43083389116092375080564689/2147315240478515625 |
j-invariant |
L |
0.98305983707702 |
L(r)(E,1)/r! |
Ω |
0.12288248789574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035f1 |
Quadratic twists by: -4 |