Atkin-Lehner |
7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51667c |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
37800 |
Modular degree for the optimal curve |
Δ |
756456547 = 7 · 116 · 61 |
Discriminant |
Eigenvalues |
-1 1 -4 7+ 11- 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,-10559] |
[a1,a2,a3,a4,a6] |
j |
47045881/427 |
j-invariant |
L |
0.86971026707073 |
L(r)(E,1)/r! |
Ω |
0.86971026788972 |
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 |
427b1 |
Quadratic twists by: -11 |