Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17050i |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
6240726250 = 2 · 54 · 115 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 11- 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13626,-613302] |
[a1,a2,a3,a4,a6] |
j |
447613350282025/9985162 |
j-invariant |
L |
2.2094382194548 |
L(r)(E,1)/r! |
Ω |
0.44188764389097 |
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 |
17050k2 |
Quadratic twists by: 5 |