Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590o |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2442240 |
Modular degree for the optimal curve |
Δ |
-84994302842929840 = -1 · 24 · 5 · 1711 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -5 3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-769035,259892257] |
[a1,a2,a3,a4,a6] |
j |
-2083859989441489/3521245360 |
j-invariant |
L |
2.728193552099 |
L(r)(E,1)/r! |
Ω |
0.34102418333648 |
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 |
5270d1 |
Quadratic twists by: 17 |