Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
2480d |
Isogeny class |
Conductor |
2480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
1922000 = 24 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,0] |
[a1,a2,a3,a4,a6] |
j |
212629504/120125 |
j-invariant |
L |
1.1328399092445 |
L(r)(E,1)/r! |
Ω |
2.2656798184889 |
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 |
1240d1 9920bj1 22320s1 12400h1 |
Quadratic twists by: -4 8 -3 5 |