Atkin-Lehner |
2+ 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7590a |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-35560060800000000 = -1 · 213 · 3 · 58 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11+ -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,79197,-2920947] |
[a1,a2,a3,a4,a6] |
j |
54934014267405745991/35560060800000000 |
j-invariant |
L |
0.41936608709769 |
L(r)(E,1)/r! |
Ω |
0.20968304354885 |
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 |
60720ch1 22770bv1 37950cp1 83490bm1 |
Quadratic twists by: -4 -3 5 -11 |