Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545f |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
3885254718125 = 54 · 118 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ 5 11- 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6211,-164884] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4537:1] |
Generators of the group modulo torsion |
j |
123633664/18125 |
j-invariant |
L |
3.2003161988762 |
L(r)(E,1)/r! |
Ω |
0.54304704311371 |
Real period |
R |
0.98220962605323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87725l1 17545b1 |
Quadratic twists by: 5 -11 |