Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580bf |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-4483782325959453440 = -1 · 28 · 5 · 711 · 116 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- -3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189728,96784996] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:2401:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
4.6628453994932 |
L(r)(E,1)/r! |
Ω |
0.17726700227971 |
Real period |
R |
2.1920066659934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16940c1 980i1 |
Quadratic twists by: -7 -11 |