Atkin-Lehner |
2- 3- 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838bb |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
14886169695864936 = 23 · 39 · 78 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-311054,-66436747] |
[a1,a2,a3,a4,a6] |
Generators |
[687:6271:1] |
Generators of the group modulo torsion |
j |
4565646118373089177/20419985865384 |
j-invariant |
L |
11.825151887057 |
L(r)(E,1)/r! |
Ω |
0.20221231034248 |
Real period |
R |
2.4366205071831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29946m2 |
Quadratic twists by: -3 |