Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600ba |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5248000 = 210 · 53 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:60:1] [1:39:1] |
Generators of the group modulo torsion |
j |
18966528/41 |
j-invariant |
L |
9.2472759927003 |
L(r)(E,1)/r! |
Ω |
2.423060190209 |
Real period |
R |
3.816362478346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600cg1 8200e1 65600z1 |
Quadratic twists by: -4 8 5 |