Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050bs |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
109681152000 = 212 · 3 · 53 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22208,1264481] |
[a1,a2,a3,a4,a6] |
Generators |
[2055:2999:27] |
Generators of the group modulo torsion |
j |
9690434885596373/877449216 |
j-invariant |
L |
10.083692048319 |
L(r)(E,1)/r! |
Ω |
1.0094240158171 |
Real period |
R |
0.83246252993301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050x1 |
Quadratic twists by: 5 |