Atkin-Lehner |
3- 5+ 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
31755b |
Isogeny class |
Conductor |
31755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
476325 = 32 · 52 · 29 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
1073741824/476325 |
j-invariant |
L |
5.0539305206733 |
L(r)(E,1)/r! |
Ω |
2.6559450849009 |
Real period |
R |
0.47571865749454 |
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 |
95265h1 |
Quadratic twists by: -3 |