Atkin-Lehner |
5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31265f |
Isogeny class |
Conductor |
31265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
111619958125 = 54 · 136 · 37 |
Discriminant |
Eigenvalues |
2 1 5- 5 -3 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-26420,1644049] |
[a1,a2,a3,a4,a6] |
Generators |
[5924:813:64] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
15.390161333957 |
L(r)(E,1)/r! |
Ω |
0.99654120077703 |
Real period |
R |
1.9304471960062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
185a1 |
Quadratic twists by: 13 |