Atkin-Lehner |
2- 3- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
31356f |
Isogeny class |
Conductor |
31356 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-26546365872 = -1 · 24 · 37 · 132 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,-51743] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1273:1] |
Generators of the group modulo torsion |
j |
-167416840192/2275923 |
j-invariant |
L |
4.9731320426648 |
L(r)(E,1)/r! |
Ω |
0.33389359367162 |
Real period |
R |
2.4823936611952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125424v1 10452c1 |
Quadratic twists by: -4 -3 |