Atkin-Lehner |
2- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
88088z |
Isogeny class |
Conductor |
88088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42301440 |
Modular degree for the optimal curve |
Δ |
-1.4950842088132E+21 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ 11- 13- 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4430207041,113495462096883] |
[a1,a2,a3,a4,a6] |
j |
-21203116761178214318777344/3296625230899 |
j-invariant |
L |
1.0423248851429 |
L(r)(E,1)/r! |
Ω |
0.08686041139843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8008a1 |
Quadratic twists by: -11 |