Atkin-Lehner |
3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
63897h |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
25000960 |
Modular degree for the optimal curve |
Δ |
-2.5654319130385E+22 |
Discriminant |
Eigenvalues |
0 3- -1 3 -1 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6397906011,196970050116722] |
[a1,a2,a3,a4,a6] |
Generators |
[46182:796:1] |
Generators of the group modulo torsion |
j |
-89754218718934589341696/79502005521 |
j-invariant |
L |
5.8903744011033 |
L(r)(E,1)/r! |
Ω |
0.07456060467474 |
Real period |
R |
1.234393154632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63897a1 |
Quadratic twists by: -19 |