Atkin-Lehner |
2- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36518b |
Isogeny class |
Conductor |
36518 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
334800 |
Modular degree for the optimal curve |
Δ |
8296924012226048 = 29 · 19 · 318 |
Discriminant |
Eigenvalues |
2- 2 2 4 4 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78822,7270883] |
[a1,a2,a3,a4,a6] |
j |
63499873/9728 |
j-invariant |
L |
10.708345818751 |
L(r)(E,1)/r! |
Ω |
0.39660540069506 |
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 |
36518f1 |
Quadratic twists by: -31 |