Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ef |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
44828795515140 = 22 · 36 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9158,-97743] |
[a1,a2,a3,a4,a6] |
Generators |
[-650:2913:8] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
10.504424807974 |
L(r)(E,1)/r! |
Ω |
0.51784029021361 |
Real period |
R |
5.0712666609627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830h1 8190z1 |
Quadratic twists by: -3 13 |