Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76912m |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
2596608 |
Modular degree for the optimal curve |
Δ |
8.577288680791E+20 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 11- 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5235656,-4392278924] |
[a1,a2,a3,a4,a6] |
Generators |
[-1172:11638:1] |
Generators of the group modulo torsion |
j |
3875048654272326251209/209406461933373056 |
j-invariant |
L |
3.6136119936203 |
L(r)(E,1)/r! |
Ω |
0.10014187712986 |
Real period |
R |
0.42958242499807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614a1 |
Quadratic twists by: -4 |