Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440i |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1648115000000 = -1 · 26 · 57 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 1 -3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133161,18658889] |
[a1,a2,a3,a4,a6] |
j |
-4080168919667961856/25751796875 |
j-invariant |
L |
1.502027145796 |
L(r)(E,1)/r! |
Ω |
0.75101356952859 |
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 |
69440cu1 1085h1 |
Quadratic twists by: -4 8 |