Atkin-Lehner |
2- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17020c |
Isogeny class |
Conductor |
17020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
66266348800 = 28 · 52 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- 3 1 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1125,7223] |
[a1,a2,a3,a4,a6] |
j |
615640662016/258852925 |
j-invariant |
L |
3.9815417024666 |
L(r)(E,1)/r! |
Ω |
0.99538542561666 |
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 |
68080v1 85100c1 |
Quadratic twists by: -4 5 |