Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-49920000000 = -1 · 214 · 3 · 57 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 1 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34533,2458563] |
[a1,a2,a3,a4,a6] |
j |
-17790954496/195 |
j-invariant |
L |
2.0432791508355 |
L(r)(E,1)/r! |
Ω |
1.0216395748229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400bj1 15600g1 12480br1 |
Quadratic twists by: -4 8 5 |