Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800p |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
6809671181250000 = 24 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62883,4611762] |
[a1,a2,a3,a4,a6] |
j |
2725888/675 |
j-invariant |
L |
0.78951745880858 |
L(r)(E,1)/r! |
Ω |
0.39475873037449 |
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 |
29400dy1 11760be1 58800cs1 |
Quadratic twists by: -4 5 -7 |