Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
80656p |
Isogeny class |
Conductor |
80656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39191040 |
Modular degree for the optimal curve |
Δ |
5.0000951850854E+24 |
Discriminant |
Eigenvalues |
2- -3 2 -3 -6 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211817779,1181678241778] |
[a1,a2,a3,a4,a6] |
Generators |
[-16791:65536:1] |
Generators of the group modulo torsion |
j |
2003092024307193/9529458688 |
j-invariant |
L |
2.5127980838182 |
L(r)(E,1)/r! |
Ω |
0.07719155408765 |
Real period |
R |
4.0690949179364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10082g1 1136d1 |
Quadratic twists by: -4 -71 |