Atkin-Lehner |
3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
106575cn |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
151872 |
Modular degree for the optimal curve |
Δ |
62692210875 = 3 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8111,-281557] |
[a1,a2,a3,a4,a6] |
Generators |
[-6605:4857:125] |
Generators of the group modulo torsion |
j |
81879581/87 |
j-invariant |
L |
10.940309238483 |
L(r)(E,1)/r! |
Ω |
0.50311246157112 |
Real period |
R |
3.624209332301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999707002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bd1 106575bk1 |
Quadratic twists by: 5 -7 |