Atkin-Lehner |
11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
55451c |
Isogeny class |
Conductor |
55451 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3084480 |
Modular degree for the optimal curve |
Δ |
2.1445817576846E+22 |
Discriminant |
Eigenvalues |
0 0 -1 3 11- -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6946498,-124284595] |
[a1,a2,a3,a4,a6] |
Generators |
[-1491:83176:1] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
3.1115725457091 |
L(r)(E,1)/r! |
Ω |
0.10191274153703 |
Real period |
R |
1.6962073517228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
781a1 |
Quadratic twists by: -71 |