Atkin-Lehner |
2+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12166a |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
343440 |
Modular degree for the optimal curve |
Δ |
-3.3054140419722E+20 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11+ 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1602946,393260882] |
[a1,a2,a3,a4,a6] |
j |
455491457083593072944199/330541404197220135766 |
j-invariant |
L |
0.54481722608109 |
L(r)(E,1)/r! |
Ω |
0.10896344521622 |
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 |
97328bf1 109494bv1 85162g1 |
Quadratic twists by: -4 -3 -7 |