Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682j |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
272517696 = 26 · 38 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1071,-13203] |
[a1,a2,a3,a4,a6] |
j |
186463002097/373824 |
j-invariant |
L |
1.6692273178165 |
L(r)(E,1)/r! |
Ω |
0.83461365890827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456ba1 3894n1 128502ca1 |
Quadratic twists by: -4 -3 -11 |