Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
80997v |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
32511979443162513 = 3 · 714 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88152,-5128257] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:2231:1] |
Generators of the group modulo torsion |
j |
643920557108977/276347265537 |
j-invariant |
L |
4.9517348425183 |
L(r)(E,1)/r! |
Ω |
0.28803208423504 |
Real period |
R |
2.1489510672251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000032495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571e1 |
Quadratic twists by: -7 |