Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480g |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-112320 = -1 · 26 · 33 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -1 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31,-59] |
[a1,a2,a3,a4,a6] |
j |
-53157376/1755 |
j-invariant |
L |
1.0069897391518 |
L(r)(E,1)/r! |
Ω |
1.0069897391518 |
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 |
12480z1 6240o1 37440cn1 62400cg1 |
Quadratic twists by: -4 8 -3 5 |