Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dv |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
8833204224000000000 = 232 · 34 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 6 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-516833,-2481537] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
6.2454874431573 |
L(r)(E,1)/r! |
Ω |
0.19517148253195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ga1 1950d1 62400bn1 |
Quadratic twists by: -4 8 5 |