Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166o |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-3327129269567488 = -1 · 218 · 75 · 112 · 792 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28885,-2030159] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1185:1] |
Generators of the group modulo torsion |
j |
2665261881377580239/3327129269567488 |
j-invariant |
L |
3.4026277256152 |
L(r)(E,1)/r! |
Ω |
0.23916977870268 |
Real period |
R |
0.15807588623502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97328w1 109494x1 85162y1 |
Quadratic twists by: -4 -3 -7 |