Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759g |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4591893302989377 = -1 · 3 · 78 · 11 · 176 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,36408,1868433] |
[a1,a2,a3,a4,a6] |
Generators |
[1908712:1561844539:1124864] |
Generators of the group modulo torsion |
j |
221115865823/190238433 |
j-invariant |
L |
6.1036169281678 |
L(r)(E,1)/r! |
Ω |
0.2824515861769 |
Real period |
R |
10.804713492698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
231a4 |
Quadratic twists by: 17 |