Atkin-Lehner |
11+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
105391a |
Isogeny class |
Conductor |
105391 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
1159301 = 113 · 13 · 67 |
Discriminant |
Eigenvalues |
0 2 3 -2 11+ 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29,-23] |
[a1,a2,a3,a4,a6] |
j |
2097152/871 |
j-invariant |
L |
4.2564104450039 |
L(r)(E,1)/r! |
Ω |
2.1282050763657 |
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 |
105391b1 |
Quadratic twists by: -11 |