Atkin-Lehner |
2- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12166k |
Isogeny class |
Conductor |
12166 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-338312128 = -1 · 26 · 7 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193,1279] |
[a1,a2,a3,a4,a6] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
-795309684625/338312128 |
j-invariant |
L |
9.3742314732845 |
L(r)(E,1)/r! |
Ω |
1.6010598375688 |
Real period |
R |
0.97583605281522 |
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 |
97328bi1 109494k1 85162z1 |
Quadratic twists by: -4 -3 -7 |