Atkin-Lehner |
2+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710h |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5909760 |
Modular degree for the optimal curve |
Δ |
1.0510997184882E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2276629,1312744032] |
[a1,a2,a3,a4,a6] |
j |
593977743192865844197/4784249970360320 |
j-invariant |
L |
0.45886576258931 |
L(r)(E,1)/r! |
Ω |
0.22943275496331 |
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 |
99710bf1 |
Quadratic twists by: 13 |