Atkin-Lehner |
2+ 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050bc |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
36879360 |
Modular degree for the optimal curve |
Δ |
3.4926708987072E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1104978451,14137609730798] |
[a1,a2,a3,a4,a6] |
Generators |
[19231:-208:1] |
Generators of the group modulo torsion |
j |
381966348272400424821015625/8941237500690432 |
j-invariant |
L |
6.613422007399 |
L(r)(E,1)/r! |
Ω |
0.10201307121816 |
Real period |
R |
0.57883181062667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106050bj1 |
Quadratic twists by: 5 |