Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950u |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
246357701562500 = 22 · 58 · 116 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-110963,14160781] |
[a1,a2,a3,a4,a6] |
Generators |
[1870:7311:8] |
Generators of the group modulo torsion |
j |
9670267777356649/15766892900 |
j-invariant |
L |
12.878635643336 |
L(r)(E,1)/r! |
Ω |
0.55481628827232 |
Real period |
R |
1.9343693752845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790c1 |
Quadratic twists by: 5 |