Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ff |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
790212578918400 = 214 · 32 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29201,-1353999] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:400:1] |
Generators of the group modulo torsion |
j |
94875856/27225 |
j-invariant |
L |
4.19155063395 |
L(r)(E,1)/r! |
Ω |
0.373203044419 |
Real period |
R |
2.8078218595071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999268358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160cz2 29040bi2 10560bn2 |
Quadratic twists by: -4 8 -11 |