Atkin-Lehner |
11+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105391b |
Isogeny class |
Conductor |
105391 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
2053772438861 = 119 · 13 · 67 |
Discriminant |
Eigenvalues |
0 2 3 2 11+ 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3549,44428] |
[a1,a2,a3,a4,a6] |
Generators |
[-67808:7438547:32768] |
Generators of the group modulo torsion |
j |
2097152/871 |
j-invariant |
L |
11.221550840118 |
L(r)(E,1)/r! |
Ω |
0.7485713690227 |
Real period |
R |
7.4953112404052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105391a1 |
Quadratic twists by: -11 |