Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bn |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.9208316932E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10123416,-14080483180] |
[a1,a2,a3,a4,a6] |
j |
-99166425177001/16601562500 |
j-invariant |
L |
1.5096564604446 |
L(r)(E,1)/r! |
Ω |
0.041934901557566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330g1 66640bu1 |
Quadratic twists by: -4 -7 |