Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118096be |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
9971684551426048 = 223 · 117 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54248,736052] |
[a1,a2,a3,a4,a6] |
j |
2433138625/1374208 |
j-invariant |
L |
2.8103088036704 |
L(r)(E,1)/r! |
Ω |
0.35128852837675 |
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 |
14762e1 10736e1 |
Quadratic twists by: -4 -11 |