Atkin-Lehner |
7- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39347b |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-16558416621131 = -1 · 710 · 11 · 732 |
Discriminant |
Eigenvalues |
0 1 1 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17215,-896913] |
[a1,a2,a3,a4,a6] |
j |
-4796028780544/140744219 |
j-invariant |
L |
0.83214656356338 |
L(r)(E,1)/r! |
Ω |
0.2080366408891 |
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 |
5621c1 |
Quadratic twists by: -7 |