Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144w |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
71503872 = 212 · 3 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1489664,700307520] |
[a1,a2,a3,a4,a6] |
Generators |
[33018:2037087:8] |
Generators of the group modulo torsion |
j |
89254274298475942657/17457 |
j-invariant |
L |
3.1523342479316 |
L(r)(E,1)/r! |
Ω |
0.78668776114092 |
Real period |
R |
8.014194204216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
759b5 48576dt6 36432cb6 |
Quadratic twists by: -4 8 -3 |