Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280cm |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1985485629358080 = 216 · 38 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46092,3148144] |
[a1,a2,a3,a4,a6] |
Generators |
[1533000:-2155868:9261] |
Generators of the group modulo torsion |
j |
226669409284/41558445 |
j-invariant |
L |
9.4329170588687 |
L(r)(E,1)/r! |
Ω |
0.44364591474494 |
Real period |
R |
10.631132554886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280gc3 11160m4 29760z3 |
Quadratic twists by: -4 8 -3 |