Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44506f |
Isogeny class |
Conductor |
44506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
3631674417310035712 = 28 · 75 · 112 · 178 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 11- 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1853122,967090964] |
[a1,a2,a3,a4,a6] |
Generators |
[35580:751666:27] |
Generators of the group modulo torsion |
j |
100889160629625/520613632 |
j-invariant |
L |
7.8386276852045 |
L(r)(E,1)/r! |
Ω |
0.25072241994971 |
Real period |
R |
7.8160418270362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44506j1 |
Quadratic twists by: 17 |