Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12166m |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-389312 = -1 · 26 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11+ -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112,448] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] |
Generators of the group modulo torsion |
j |
-155460517633/389312 |
j-invariant |
L |
8.9154401017159 |
L(r)(E,1)/r! |
Ω |
3.0123034631513 |
Real period |
R |
0.49327921366356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97328t1 109494v1 85162w1 |
Quadratic twists by: -4 -3 -7 |