Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bo |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5875200 = 29 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
975560/459 |
j-invariant |
L |
7.6695451639513 |
L(r)(E,1)/r! |
Ω |
1.8955471812493 |
Real period |
R |
0.67434751293439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800b1 81600e1 122400ba1 40800p1 |
Quadratic twists by: -4 8 -3 5 |