Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10082d |
Isogeny class |
Conductor |
10082 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
18190240316782 = 2 · 717 |
Discriminant |
Eigenvalues |
2+ -1 -2 1 2 3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7666,153806] |
[a1,a2,a3,a4,a6] |
j |
389017/142 |
j-invariant |
L |
1.2622258937599 |
L(r)(E,1)/r! |
Ω |
0.63111294687994 |
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 |
80656g1 90738z1 142b1 |
Quadratic twists by: -4 -3 -71 |