Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696gr |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
-2.2584051085115E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 2 11- 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2283996,1512590992] |
[a1,a2,a3,a4,a6] |
j |
-4253392/729 |
j-invariant |
L |
5.4449235976483 |
L(r)(E,1)/r! |
Ω |
0.17015386219882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696dd1 17424cd1 23232ds1 69696gs1 |
Quadratic twists by: -4 8 -3 -11 |