Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544i |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1108224 = 28 · 32 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164,-864] |
[a1,a2,a3,a4,a6] |
j |
1917170512/4329 |
j-invariant |
L |
2.6672090562649 |
L(r)(E,1)/r! |
Ω |
1.3336045281325 |
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 |
23088e1 92352l1 34632f1 |
Quadratic twists by: -4 8 -3 |