Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39872o |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-670128704 = -1 · 26 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 3 3 7- 6 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5851,172268] |
[a1,a2,a3,a4,a6] |
j |
-346125847768128/10470761 |
j-invariant |
L |
9.0251356010039 |
L(r)(E,1)/r! |
Ω |
1.504189266829 |
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 |
39872c1 19936c1 |
Quadratic twists by: -4 8 |