Atkin-Lehner |
5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31775g |
Isogeny class |
Conductor |
31775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
24863277672265625 = 58 · 314 · 413 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-889401,322681823] |
[a1,a2,a3,a4,a6] |
Generators |
[413:4877:1] |
Generators of the group modulo torsion |
j |
4979615664246680449/1591249771025 |
j-invariant |
L |
3.6652704040635 |
L(r)(E,1)/r! |
Ω |
0.37006004485413 |
Real period |
R |
0.82537740722325 |
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 |
6355b1 |
Quadratic twists by: 5 |