Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950ci |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
936 |
Product of Tamagawa factors cp |
deg |
1886976 |
Modular degree for the optimal curve |
Δ |
-1244669094993715200 = -1 · 213 · 36 · 52 · 234 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 5 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,235842,-30603708] |
[a1,a2,a3,a4,a6] |
Generators |
[138:2070:1] |
Generators of the group modulo torsion |
j |
58029260445473298935/49786763799748608 |
j-invariant |
L |
13.48506885062 |
L(r)(E,1)/r! |
Ω |
0.1503419406443 |
Real period |
R |
0.095829046643229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950p1 |
Quadratic twists by: 5 |