Atkin-Lehner |
5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545n |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-14128198975 = -1 · 52 · 117 · 29 |
Discriminant |
Eigenvalues |
1 -2 5- 2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,602,603] |
[a1,a2,a3,a4,a6] |
j |
13651919/7975 |
j-invariant |
L |
1.5150754153661 |
L(r)(E,1)/r! |
Ω |
0.75753770768305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87725p1 1595c1 |
Quadratic twists by: 5 -11 |