Atkin-Lehner |
2- 3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304r |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
272517696 = 26 · 38 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162,0] |
[a1,a2,a3,a4,a6] |
j |
7392083392/4258089 |
j-invariant |
L |
1.4564505714478 |
L(r)(E,1)/r! |
Ω |
1.4564505705079 |
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 |
62304n1 124608bv1 |
Quadratic twists by: -4 8 |