Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800y |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-2258860800 = -1 · 28 · 3 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,327,-363] |
[a1,a2,a3,a4,a6] |
j |
5120/3 |
j-invariant |
L |
0.85867097826007 |
L(r)(E,1)/r! |
Ω |
0.85867098251584 |
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 |
29400bn1 58800el1 1200f1 |
Quadratic twists by: -4 5 -7 |