Atkin-Lehner |
2- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17050k |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
251936528800 = 25 · 52 · 11 · 315 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5528,154041] |
[a1,a2,a3,a4,a6] |
j |
747296101637545/10077461152 |
j-invariant |
L |
0.98809081015742 |
L(r)(E,1)/r! |
Ω |
0.98809081015742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
17050i2 |
Quadratic twists by: 5 |