Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480h |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
265070961000000 = 26 · 310 · 56 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50493,-4296292] |
[a1,a2,a3,a4,a6] |
Generators |
[-11303453:-7424928:79507] |
Generators of the group modulo torsion |
j |
305147442188224/5681390625 |
j-invariant |
L |
6.8375627916936 |
L(r)(E,1)/r! |
Ω |
0.31884729523496 |
Real period |
R |
10.722315806851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006369 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96480x1 32160r1 |
Quadratic twists by: -4 -3 |