Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12716a |
Isogeny class |
Conductor |
12716 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
75072 |
Modular degree for the optimal curve |
Δ |
-333943460215552 = -1 · 28 · 11 · 179 |
Discriminant |
Eigenvalues |
2- -2 4 -1 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13101,-1056113] |
[a1,a2,a3,a4,a6] |
j |
-8192/11 |
j-invariant |
L |
1.2754888725181 |
L(r)(E,1)/r! |
Ω |
0.21258147875301 |
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 |
50864bp1 114444r1 12716e1 |
Quadratic twists by: -4 -3 17 |