Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759g |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-325968443696718207 = -1 · 32 · 7 · 118 · 176 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8953,-27466512] |
[a1,a2,a3,a4,a6] |
Generators |
[26534:1514963:8] |
Generators of the group modulo torsion |
j |
3288008303/13504609503 |
j-invariant |
L |
6.1036169281678 |
L(r)(E,1)/r! |
Ω |
0.14122579308845 |
Real period |
R |
5.4023567463492 |
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 |
231a6 |
Quadratic twists by: 17 |