Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bc |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79626240 |
Modular degree for the optimal curve |
Δ |
-1.4599243771085E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36444033,-5813912232063] |
[a1,a2,a3,a4,a6] |
j |
-1306902141891515161/3564268498800000000 |
j-invariant |
L |
1.7902481466288 |
L(r)(E,1)/r! |
Ω |
0.017902475523542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400hv1 3450v1 22080x1 |
Quadratic twists by: -4 8 5 |