Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400hd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-39000000000000 = -1 · 212 · 3 · 512 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7033,-378937] |
[a1,a2,a3,a4,a6] |
j |
-601211584/609375 |
j-invariant |
L |
4.0073622945345 |
L(r)(E,1)/r! |
Ω |
0.25046014346315 |
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 |
62400ez1 31200bf1 12480bn1 |
Quadratic twists by: -4 8 5 |