Atkin-Lehner |
2- 3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bl |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2004345000000 = 26 · 34 · 57 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4463,-94219] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:88:1] |
Generators of the group modulo torsion |
j |
629202484009/128278080 |
j-invariant |
L |
10.213125004566 |
L(r)(E,1)/r! |
Ω |
0.59246765497587 |
Real period |
R |
1.4365235685152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210m1 |
Quadratic twists by: 5 |