Atkin-Lehner |
2+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782h |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2166912 |
Modular degree for the optimal curve |
Δ |
5.8560806882236E+19 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2551610,1525629364] |
[a1,a2,a3,a4,a6] |
Generators |
[1059:2677:1] |
Generators of the group modulo torsion |
j |
8570876024071449/273190486016 |
j-invariant |
L |
3.2788752729885 |
L(r)(E,1)/r! |
Ω |
0.19676292663298 |
Real period |
R |
0.92578282099797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782bj1 |
Quadratic twists by: -11 |