Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gu |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-741977625446055936 = -1 · 226 · 38 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25851,41474090] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-6426:1] |
Generators of the group modulo torsion |
j |
-1865409391/724451328 |
j-invariant |
L |
6.1310985008721 |
L(r)(E,1)/r! |
Ω |
0.2311246802998 |
Real period |
R |
1.1053014367208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998567045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994da1 39984bu1 119952fc1 |
Quadratic twists by: -4 -3 -7 |