Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14352c |
Isogeny class |
Conductor |
14352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
88941260006352 = 24 · 314 · 133 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17499,772650] |
[a1,a2,a3,a4,a6] |
j |
37039766561277952/5558828750397 |
j-invariant |
L |
0.57921492955134 |
L(r)(E,1)/r! |
Ω |
0.57921492955134 |
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 |
7176n1 57408dr1 43056b1 |
Quadratic twists by: -4 8 -3 |