Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ew |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-851640475189248000 = -1 · 239 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,229812,-13163888] |
[a1,a2,a3,a4,a6] |
j |
7023836099951/4456448000 |
j-invariant |
L |
0.32314042349306 |
L(r)(E,1)/r! |
Ω |
0.16157021160431 |
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 |
48960cd1 12240cg1 5440u1 |
Quadratic twists by: -4 8 -3 |