Atkin-Lehner |
2+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98600a |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-3647411200 = -1 · 210 · 52 · 173 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -4 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,232,2492] |
[a1,a2,a3,a4,a6] |
j |
53712380/142477 |
j-invariant |
L |
1.9647427407586 |
L(r)(E,1)/r! |
Ω |
0.98237139506506 |
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 |
98600r1 |
Quadratic twists by: 5 |