Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050y |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
914873377860000000 = 28 · 36 · 57 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254292,17905616] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
1.9800188020081 |
L(r)(E,1)/r! |
Ω |
0.24750235038988 |
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 |
8450m1 15210bm1 5850bj1 |
Quadratic twists by: -3 5 13 |