Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bk |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-182570714233307136 = -1 · 218 · 32 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58120,-21233936] |
[a1,a2,a3,a4,a6] |
j |
-24729001/207936 |
j-invariant |
L |
1.0806841212755 |
L(r)(E,1)/r! |
Ω |
0.13508554933889 |
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 |
13794n1 110352v1 |
Quadratic twists by: -4 -11 |