Atkin-Lehner |
5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71485c |
Isogeny class |
Conductor |
71485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
323640 |
Modular degree for the optimal curve |
Δ |
42520945101685 = 5 · 17 · 298 |
Discriminant |
Eigenvalues |
-2 1 5+ 3 0 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-89426,10258510] |
[a1,a2,a3,a4,a6] |
j |
158101504/85 |
j-invariant |
L |
0.634315129213 |
L(r)(E,1)/r! |
Ω |
0.63431515104487 |
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 |
71485d1 |
Quadratic twists by: 29 |