Atkin-Lehner |
2+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107822g |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15168 |
Modular degree for the optimal curve |
Δ |
-1401686 = -1 · 2 · 11 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 0 1 3 11+ 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64,222] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:21:1] |
Generators of the group modulo torsion |
j |
-13312053/638 |
j-invariant |
L |
5.5399895724516 |
L(r)(E,1)/r! |
Ω |
2.67174476411 |
Real period |
R |
1.0367737290963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107822r1 |
Quadratic twists by: 13 |