Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
93456y |
Isogeny class |
Conductor |
93456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
202314905045434368 = 228 · 39 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-381483,88070490] |
[a1,a2,a3,a4,a6] |
j |
76154932854603/2509438976 |
j-invariant |
L |
5.0465203196122 |
L(r)(E,1)/r! |
Ω |
0.31540751939187 |
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 |
11682m1 93456s1 |
Quadratic twists by: -4 -3 |