Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ef |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-5857406763264000 = -1 · 211 · 34 · 53 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116048,-15694092] |
[a1,a2,a3,a4,a6] |
j |
-2390122/81 |
j-invariant |
L |
4.1304282722712 |
L(r)(E,1)/r! |
Ω |
0.12907588356649 |
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 |
29400de1 58800bw1 58800bn1 |
Quadratic twists by: -4 5 -7 |