Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
568a |
Isogeny class |
Conductor |
568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
145408 = 211 · 71 |
Discriminant |
Eigenvalues |
2+ -1 2 5 2 -1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,-212] |
[a1,a2,a3,a4,a6] |
j |
20436626/71 |
j-invariant |
L |
1.6374033063654 |
L(r)(E,1)/r! |
Ω |
1.6374033063654 |
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 |
1136a1 4544f1 5112c1 14200f1 |
Quadratic twists by: -4 8 -3 5 |