Atkin-Lehner |
11- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105391c |
Isogeny class |
Conductor |
105391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
248506465102181 = 1111 · 13 · 67 |
Discriminant |
Eigenvalues |
0 0 3 0 11- 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17666,-491472] |
[a1,a2,a3,a4,a6] |
j |
344177344512/140275421 |
j-invariant |
L |
1.7165216825205 |
L(r)(E,1)/r! |
Ω |
0.4291303397916 |
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 |
9581b1 |
Quadratic twists by: -11 |