Atkin-Lehner |
2- 3- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12876c |
Isogeny class |
Conductor |
12876 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-17150832 = -1 · 24 · 33 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 3 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[22:111:1] |
Generators of the group modulo torsion |
j |
1325495552/1071927 |
j-invariant |
L |
6.0656036918112 |
L(r)(E,1)/r! |
Ω |
1.2154509515049 |
Real period |
R |
0.27724523351698 |
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 |
51504e1 38628e1 |
Quadratic twists by: -4 -3 |