Atkin-Lehner |
2+ 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
127534i |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9659520 |
Modular degree for the optimal curve |
Δ |
5.6458487866838E+21 |
Discriminant |
Eigenvalues |
2+ -2 3 1 11- 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4670482,1422319908] |
[a1,a2,a3,a4,a6] |
j |
6359933511864961777/3186934453108736 |
j-invariant |
L |
2.1540398647246 |
L(r)(E,1)/r! |
Ω |
0.11966893613112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594c1 |
Quadratic twists by: -11 |