Atkin-Lehner |
2+ 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bj |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
1.077021469144E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31182534,-65127396812] |
[a1,a2,a3,a4,a6] |
Generators |
[-3373:42524:1] [-2823:21349:1] |
Generators of the group modulo torsion |
j |
4599709511865552097278049/147739570527296000000 |
j-invariant |
L |
8.7217227490033 |
L(r)(E,1)/r! |
Ω |
0.064014184015781 |
Real period |
R |
2.2707787040541 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790i1 |
Quadratic twists by: -3 |