Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434t |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
1365533226954 = 2 · 33 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 3 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2792,7734] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:2141:8] |
Generators of the group modulo torsion |
j |
2950753/1674 |
j-invariant |
L |
9.5064802867094 |
L(r)(E,1)/r! |
Ω |
0.73586939822697 |
Real period |
R |
1.435411759148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94302p1 31434j1 |
Quadratic twists by: -3 13 |