Atkin-Lehner |
17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85697a |
Isogeny class |
Conductor |
85697 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
90440 |
Modular degree for the optimal curve |
Δ |
2177704826657 = 17 · 716 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3466,-32688] |
[a1,a2,a3,a4,a6] |
j |
35937/17 |
j-invariant |
L |
0.32585929502397 |
L(r)(E,1)/r! |
Ω |
0.65171856470686 |
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 |
17a4 |
Quadratic twists by: -71 |