Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fr |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-385471872000 = -1 · 210 · 311 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7932,273544] |
[a1,a2,a3,a4,a6] |
Generators |
[53:45:1] |
Generators of the group modulo torsion |
j |
-73934023936/516375 |
j-invariant |
L |
7.4941035245917 |
L(r)(E,1)/r! |
Ω |
0.95587354383326 |
Real period |
R |
1.3066762462038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960cz1 12240n1 16320ci1 |
Quadratic twists by: -4 8 -3 |