Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640w |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-41104857418956800 = -1 · 224 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43104,-9140480] |
[a1,a2,a3,a4,a6] |
j |
375078431/1740800 |
j-invariant |
L |
0.73092349209361 |
L(r)(E,1)/r! |
Ω |
0.18273087320785 |
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 |
8330n1 66640cn1 |
Quadratic twists by: -4 -7 |