Atkin-Lehner |
5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39775a |
Isogeny class |
Conductor |
39775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
914623017578125 = 510 · 373 · 432 |
Discriminant |
Eigenvalues |
2 1 5+ -1 -5 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-53008,4448769] |
[a1,a2,a3,a4,a6] |
j |
1054231854616576/58535873125 |
j-invariant |
L |
1.960913463671 |
L(r)(E,1)/r! |
Ω |
0.49022836593631 |
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 |
7955d1 |
Quadratic twists by: 5 |