Atkin-Lehner |
2- 3- 11+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
79794s |
Isogeny class |
Conductor |
79794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-10166792922 = -1 · 2 · 36 · 113 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11+ 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3299,-72259] |
[a1,a2,a3,a4,a6] |
Generators |
[258482:1702413:2744] |
Generators of the group modulo torsion |
j |
-5445273626857/13946218 |
j-invariant |
L |
11.137028971161 |
L(r)(E,1)/r! |
Ω |
0.31493261216757 |
Real period |
R |
8.8408031932063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866f1 |
Quadratic twists by: -3 |