Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545g |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
256876345 = 5 · 116 · 29 |
Discriminant |
Eigenvalues |
1 0 5+ 2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-325,-2040] |
[a1,a2,a3,a4,a6] |
Generators |
[128492:858590:2197] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
5.2822369973453 |
L(r)(E,1)/r! |
Ω |
1.1290331065266 |
Real period |
R |
9.3570985063421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87725o1 145a1 |
Quadratic twists by: 5 -11 |