Atkin-Lehner |
3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31713g |
Isogeny class |
Conductor |
31713 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
662160 |
Modular degree for the optimal curve |
Δ |
-3.6000533249058E+19 |
Discriminant |
Eigenvalues |
0 3- -2 0 11- -1 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,615681,221020808] |
[a1,a2,a3,a4,a6] |
j |
31490048/43923 |
j-invariant |
L |
0.55698507040796 |
L(r)(E,1)/r! |
Ω |
0.13924626760227 |
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 |
95139d1 31713a1 |
Quadratic twists by: -3 -31 |