Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968fr |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-167074953663873024 = -1 · 232 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,90717,16617634] |
[a1,a2,a3,a4,a6] |
Generators |
[335:9198:1] |
Generators of the group modulo torsion |
j |
228516153239/462422016 |
j-invariant |
L |
6.4902083083393 |
L(r)(E,1)/r! |
Ω |
0.22281783392189 |
Real period |
R |
3.6409834109229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246k1 40656dc1 121968dz1 |
Quadratic twists by: -4 -3 -11 |