Atkin-Lehner |
2+ 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160bf |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2943959040 = 214 · 33 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31665,2179377] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:2024:1] [112:159:1] |
Generators of the group modulo torsion |
j |
161019290864/135 |
j-invariant |
L |
11.251084358019 |
L(r)(E,1)/r! |
Ω |
1.1904465258765 |
Real period |
R |
9.4511463680569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ii2 14520bj2 116160bg2 |
Quadratic twists by: -4 8 -11 |