Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fb |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
287350028697600 = 216 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25555361,49733101761] |
[a1,a2,a3,a4,a6] |
Generators |
[2901:1680:1] |
Generators of the group modulo torsion |
j |
15897679904620804/2475 |
j-invariant |
L |
5.7899450308925 |
L(r)(E,1)/r! |
Ω |
0.315165013272 |
Real period |
R |
2.2963942547982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160cu4 29040bg4 10560bh3 |
Quadratic twists by: -4 8 -11 |