Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160it |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
16001804723097600 = 212 · 36 · 52 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99865,-10545625] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:324:1] |
Generators of the group modulo torsion |
j |
15179306176/2205225 |
j-invariant |
L |
10.094672653023 |
L(r)(E,1)/r! |
Ω |
0.27116734606759 |
Real period |
R |
3.1022271897336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084954 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116160gl2 58080bg1 10560ck2 |
Quadratic twists by: -4 8 -11 |