Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ez |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
188083655147520 = 218 · 34 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16727201,-26326375359] |
[a1,a2,a3,a4,a6] |
Generators |
[-44939606511:21510692:19034163] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
4.0528462678625 |
L(r)(E,1)/r! |
Ω |
0.07465239298879 |
Real period |
R |
13.572392395542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160ct8 29040dg8 960i7 |
Quadratic twists by: -4 8 -11 |