Atkin-Lehner |
5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31265a |
Isogeny class |
Conductor |
31265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
4464798325 = 52 · 136 · 37 |
Discriminant |
Eigenvalues |
0 -1 5+ 3 5 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,10207] |
[a1,a2,a3,a4,a6] |
Generators |
[61:422:1] |
Generators of the group modulo torsion |
j |
16777216/925 |
j-invariant |
L |
4.165359020211 |
L(r)(E,1)/r! |
Ω |
1.358563827231 |
Real period |
R |
0.76650042801093 |
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 |
185b1 |
Quadratic twists by: 13 |