Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3380c |
Isogeny class |
Conductor |
3380 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
8157307210000 = 24 · 54 · 138 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 -5 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5126,34501] |
[a1,a2,a3,a4,a6] |
j |
1141504/625 |
j-invariant |
L |
1.2829878763971 |
L(r)(E,1)/r! |
Ω |
0.64149393819854 |
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 |
13520p1 54080bj1 30420x1 16900e1 |
Quadratic twists by: -4 8 -3 5 |