Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960be |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-6.3635986106543E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84588798,-299691089503] |
[a1,a2,a3,a4,a6] |
Generators |
[9507226064042043088122352:18140908694049803605515141647:2611202863811279921] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
7.8358160399446 |
L(r)(E,1)/r! |
Ω |
0.024889523805544 |
Real period |
R |
39.352982070287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000213742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440l1 6840q1 |
Quadratic twists by: -3 -19 |