Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960ba |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-32624640 = -1 · 212 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -2 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,512] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
-1259712/295 |
j-invariant |
L |
7.7714405782007 |
L(r)(E,1)/r! |
Ω |
1.9817640205762 |
Real period |
R |
0.98036906746601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960x1 84960b1 |
Quadratic twists by: -4 -3 |