Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162y |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
33638181282048 = 28 · 3 · 72 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13906,560351] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
5.0728489374045 |
L(r)(E,1)/r! |
Ω |
0.63410611717557 |
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 |
121296cw1 45486v1 106134di1 798f1 |
Quadratic twists by: -4 -3 -7 -19 |