Atkin-Lehner |
3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571d |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-11571 = -1 · 3 · 7 · 19 · 29 |
Discriminant |
Eigenvalues |
2 3+ 1 7+ -3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,0,5] |
[a1,a2,a3,a4,a6] |
Generators |
[10:15:8] |
Generators of the group modulo torsion |
j |
-4096/11571 |
j-invariant |
L |
7.8964590369882 |
L(r)(E,1)/r! |
Ω |
3.2349340852481 |
Real period |
R |
2.4409953429956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34713g1 80997n1 |
Quadratic twists by: -3 -7 |