Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066t |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-750610973112 = -1 · 23 · 3 · 76 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1191,44482] |
[a1,a2,a3,a4,a6] |
Generators |
[-1104:4826:27] |
Generators of the group modulo torsion |
j |
-1542230688625/6203396472 |
j-invariant |
L |
5.5435226820198 |
L(r)(E,1)/r! |
Ω |
0.78459762082078 |
Real period |
R |
3.532716984178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066cv2 |
Quadratic twists by: -11 |