Atkin-Lehner |
3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627r |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2331348747 = -1 · 3 · 7 · 136 · 23 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ -1 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,282,1538] |
[a1,a2,a3,a4,a6] |
Generators |
[58:503:8] |
Generators of the group modulo torsion |
j |
512000/483 |
j-invariant |
L |
3.7811117783252 |
L(r)(E,1)/r! |
Ω |
0.95377209697797 |
Real period |
R |
1.9821882958926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
483b1 |
Quadratic twists by: 13 |