Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600x |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-116000000 = -1 · 28 · 56 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120775,16155250] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
1.1473527865296 |
L(r)(E,1)/r! |
Ω |
1.1473527865296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2900d1 46400ci1 104400ex1 464f1 |
Quadratic twists by: -4 8 -3 5 |