Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160bj |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
103809600 = 26 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237,1316] |
[a1,a2,a3,a4,a6] |
Generators |
[5:16:1] |
Generators of the group modulo torsion |
j |
31554496/2225 |
j-invariant |
L |
7.6900158634124 |
L(r)(E,1)/r! |
Ω |
1.8488325537405 |
Real period |
R |
2.079695077347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999241958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160q1 14240c1 |
Quadratic twists by: -4 -3 |