Atkin-Lehner |
2+ 7+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12194c |
Isogeny class |
Conductor |
12194 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-170716 = -1 · 22 · 72 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14,0] |
[a1,a2,a3,a4,a6] |
j |
270840023/170716 |
j-invariant |
L |
1.8498593736932 |
L(r)(E,1)/r! |
Ω |
1.8498593736932 |
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 |
97552m1 109746q1 85358f1 |
Quadratic twists by: -4 -3 -7 |