Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575a |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
294256229134765625 = 59 · 74 · 137 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-212042,27094991] |
[a1,a2,a3,a4,a6] |
Generators |
[-9430:821127:125] |
Generators of the group modulo torsion |
j |
13980103929/3901625 |
j-invariant |
L |
5.4370662748661 |
L(r)(E,1)/r! |
Ω |
0.28652950282878 |
Real period |
R |
9.4877948364623 |
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 |
5915k1 2275d1 |
Quadratic twists by: 5 13 |