Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968r |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
352824263776512 = 28 · 311 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18111,251714] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:522:1] [-115:902:1] |
Generators of the group modulo torsion |
j |
3520331082448/1890562113 |
j-invariant |
L |
6.3238042886035 |
L(r)(E,1)/r! |
Ω |
0.47082672946547 |
Real period |
R |
3.3578192851237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45936q1 7656b1 |
Quadratic twists by: -4 -3 |