Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fa |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86205008609280 = 215 · 33 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7666721,8173318881] |
[a1,a2,a3,a4,a6] |
Generators |
[5955:416724:1] |
Generators of the group modulo torsion |
j |
858512652814088/1485 |
j-invariant |
L |
4.2331554840608 |
L(r)(E,1)/r! |
Ω |
0.3910793441446 |
Real period |
R |
5.4121440035911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hq4 58080v4 10560bm3 |
Quadratic twists by: -4 8 -11 |