Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960m |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
62424000 = 26 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483,-4068] |
[a1,a2,a3,a4,a6] |
j |
7211429568/36125 |
j-invariant |
L |
1.0186939383224 |
L(r)(E,1)/r! |
Ω |
1.0186939371226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960o1 24480ba2 48960r1 |
Quadratic twists by: -4 8 -3 |