Atkin-Lehner |
2+ 3- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386g |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
86528 |
Modular degree for the optimal curve |
Δ |
10659567050496 = 28 · 313 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -5 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37929,2835628] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:2034:1] [-64:2268:1] |
Generators of the group modulo torsion |
j |
6034224034719280009/10659567050496 |
j-invariant |
L |
6.178492893084 |
L(r)(E,1)/r! |
Ω |
0.72124413872445 |
Real period |
R |
0.16473918419773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158bn1 |
Quadratic twists by: -3 |