Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cn |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
114930837504000000 = 217 · 32 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187600,-26747500] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:1440:1] |
Generators of the group modulo torsion |
j |
178264383385208401/28059286500000 |
j-invariant |
L |
9.1714000791161 |
L(r)(E,1)/r! |
Ω |
0.23183346622264 |
Real period |
R |
1.6483455830704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130ba2 |
Quadratic twists by: -4 |