Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172l |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-6569136 = -1 · 24 · 32 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,216] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:21:1] |
Generators of the group modulo torsion |
j |
-802816/171 |
j-invariant |
L |
6.1115731154191 |
L(r)(E,1)/r! |
Ω |
2.2711386054362 |
Real period |
R |
0.14949851098159 |
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 |
44688bs1 33516a1 11172j1 |
Quadratic twists by: -4 -3 -7 |