Atkin-Lehner |
29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31117d |
Isogeny class |
Conductor |
31117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
22008462877 = 296 · 37 |
Discriminant |
Eigenvalues |
2 3 -2 -1 5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-841,6097] |
[a1,a2,a3,a4,a6] |
j |
110592/37 |
j-invariant |
L |
8.8939410500946 |
L(r)(E,1)/r! |
Ω |
1.1117426312621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37a1 |
Quadratic twists by: 29 |