Atkin-Lehner |
2+ 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12166c |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9504 |
Modular degree for the optimal curve |
Δ |
-144264428 = -1 · 22 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 11+ -7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-103,-679] |
[a1,a2,a3,a4,a6] |
j |
-121508031177/144264428 |
j-invariant |
L |
1.4326657698274 |
L(r)(E,1)/r! |
Ω |
0.71633288491371 |
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 |
97328bk1 109494bw1 85162l1 |
Quadratic twists by: -4 -3 -7 |