Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936f |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
2898208760832 = 210 · 37 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392800,94886716] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
0.65442352917403 |
L(r)(E,1)/r! |
Ω |
0.65442352917403 |
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 |
25872bb1 103488el1 38808cp1 264d1 |
Quadratic twists by: -4 8 -3 -7 |