Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fc |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
53814196800 = 26 · 37 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-968,-2869] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-623:1] |
Generators of the group modulo torsion |
j |
62570773/33600 |
j-invariant |
L |
10.020145793842 |
L(r)(E,1)/r! |
Ω |
0.91093531098987 |
Real period |
R |
0.45832681022391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490by1 106470cq1 |
Quadratic twists by: -3 13 |