Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472w |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4935168 |
Modular degree for the optimal curve |
Δ |
1.8015806355292E+19 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ -2 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-761515,-154012724] |
[a1,a2,a3,a4,a6] |
j |
109392552000/40353607 |
j-invariant |
L |
0.49989208062861 |
L(r)(E,1)/r! |
Ω |
0.16663078933869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472br1 64736e1 129472bh1 |
Quadratic twists by: -4 8 17 |