Atkin-Lehner |
5- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17765c |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-19040427604825 = -1 · 52 · 119 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11+ 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11980,-547623] |
[a1,a2,a3,a4,a6] |
j |
-190150044774793921/19040427604825 |
j-invariant |
L |
0.45376095620885 |
L(r)(E,1)/r! |
Ω |
0.22688047810443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88825a1 |
Quadratic twists by: 5 |