Atkin-Lehner |
7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51667b |
Isogeny class |
Conductor |
51667 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39083840413849 = 72 · 118 · 612 |
Discriminant |
Eigenvalues |
-1 0 -2 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12486,-441724] |
[a1,a2,a3,a4,a6] |
j |
121508031177/22061809 |
j-invariant |
L |
0.45728855271304 |
L(r)(E,1)/r! |
Ω |
0.45728855358643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4697c2 |
Quadratic twists by: -11 |