Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232b |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-68810989104 = -1 · 24 · 34 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,113,-12650] |
[a1,a2,a3,a4,a6] |
Generators |
[4879786730:-33903820404:94196375] |
Generators of the group modulo torsion |
j |
2048/891 |
j-invariant |
L |
7.8917884013901 |
L(r)(E,1)/r! |
Ω |
0.51405943716941 |
Real period |
R |
15.351898701698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44616u1 528b1 |
Quadratic twists by: -4 13 |