Atkin-Lehner |
2- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41876c |
Isogeny class |
Conductor |
41876 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-349268620544 = -1 · 28 · 196 · 29 |
Discriminant |
Eigenvalues |
2- -1 3 -4 3 -5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1564,-36568] |
[a1,a2,a3,a4,a6] |
Generators |
[89:722:1] [469:10108:1] |
Generators of the group modulo torsion |
j |
-35152/29 |
j-invariant |
L |
8.2085356521539 |
L(r)(E,1)/r! |
Ω |
0.36671831497587 |
Real period |
R |
5.5959406150017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116b1 |
Quadratic twists by: -19 |