Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800is |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-5.5306395648E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-885208,-1176306412] |
[a1,a2,a3,a4,a6] |
j |
-5591213575/40310784 |
j-invariant |
L |
4.9644761117021 |
L(r)(E,1)/r! |
Ω |
0.068951057113882 |
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 |
7350h1 58800hi1 58800fy1 |
Quadratic twists by: -4 5 -7 |