Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704i |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
613632 |
Modular degree for the optimal curve |
Δ |
-2666864106117232 = -1 · 24 · 7 · 478 |
Discriminant |
Eigenvalues |
2- 2 2 7- 1 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34608,169193] |
[a1,a2,a3,a4,a6] |
j |
12032/7 |
j-invariant |
L |
6.585173834453 |
L(r)(E,1)/r! |
Ω |
0.27438222000106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123704j1 |
Quadratic twists by: -47 |