Atkin-Lehner |
2- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
11792b |
Isogeny class |
Conductor |
11792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2075392 = -1 · 28 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 -2 11+ 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,284] |
[a1,a2,a3,a4,a6] |
Generators |
[10:22:1] |
Generators of the group modulo torsion |
j |
-221184000/8107 |
j-invariant |
L |
4.0798877190618 |
L(r)(E,1)/r! |
Ω |
2.5962241795757 |
Real period |
R |
0.39286743332471 |
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 |
2948a1 47168g1 106128bu1 129712s1 |
Quadratic twists by: -4 8 -3 -11 |