Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bc |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-1.7308899085437E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13586129,5400008738] |
[a1,a2,a3,a4,a6] |
j |
2218712073897830722499107/1384711926834951880704 |
j-invariant |
L |
1.7627152775711 |
L(r)(E,1)/r! |
Ω |
0.062954117056112 |
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 |
92400fj1 34650dv1 11550ca1 80850bk1 |
Quadratic twists by: -4 -3 5 -7 |