Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bf |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
5734249092 = 22 · 33 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-933,10269] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
3.9793210902001 |
L(r)(E,1)/r! |
Ω |
1.3264403634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232y1 33462q1 122694bd1 66a1 |
Quadratic twists by: -4 -3 -11 13 |