Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598n |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-3981427510965632 = -1 · 27 · 73 · 13 · 178 |
Discriminant |
Eigenvalues |
2- 1 2 7+ -1 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40177,4335337] |
[a1,a2,a3,a4,a6] |
j |
-297141543217/164947328 |
j-invariant |
L |
5.7218412386213 |
L(r)(E,1)/r! |
Ω |
0.40870294569328 |
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 |
3094f1 |
Quadratic twists by: 17 |