Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fh |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-8121876480 = -1 · 217 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-4336] |
[a1,a2,a3,a4,a6] |
j |
-2/85 |
j-invariant |
L |
1.1972925334512 |
L(r)(E,1)/r! |
Ω |
0.59864626704989 |
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 |
48960cp1 12240i1 5440r1 |
Quadratic twists by: -4 8 -3 |