Atkin-Lehner |
2+ 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696d |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
20475728 = 24 · 74 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194,-1017] |
[a1,a2,a3,a4,a6] |
j |
50467166208/1279733 |
j-invariant |
L |
1.2812112808542 |
L(r)(E,1)/r! |
Ω |
1.2812112850761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29848a1 |
Quadratic twists by: -4 |