Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384br |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
9.6552828496116E+18 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13- 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4572207,-3760052697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1247:1547:1] |
Generators of the group modulo torsion |
j |
33565265720885290752/30658699288763 |
j-invariant |
L |
8.8132785254906 |
L(r)(E,1)/r! |
Ω |
0.10325043703898 |
Real period |
R |
0.2845275610231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111384g1 |
Quadratic twists by: -3 |