Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41888h |
Isogeny class |
Conductor |
41888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
13269196864 = 26 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4801,-127920] |
[a1,a2,a3,a4,a6] |
Generators |
[87:336:1] |
Generators of the group modulo torsion |
j |
191222440244928/207331201 |
j-invariant |
L |
4.0433189406564 |
L(r)(E,1)/r! |
Ω |
0.57358118964602 |
Real period |
R |
3.5246265163845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41888f1 83776bf2 |
Quadratic twists by: -4 8 |