Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800n |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
312912460800 = 210 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,30490] |
[a1,a2,a3,a4,a6] |
j |
66158980/16767 |
j-invariant |
L |
3.6252234159361 |
L(r)(E,1)/r! |
Ω |
0.90630583791448 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400bw1 27600z1 82800cc1 |
Quadratic twists by: -4 -3 5 |