Atkin-Lehner |
2- 3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330bo |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1049681005560000 = -1 · 26 · 312 · 54 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25312,-171133] |
[a1,a2,a3,a4,a6] |
Generators |
[13:393:1] [27:715:1] |
Generators of the group modulo torsion |
j |
2460320325404999/1439891640000 |
j-invariant |
L |
13.621853804263 |
L(r)(E,1)/r! |
Ω |
0.28964833623595 |
Real period |
R |
1.9595391060106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110h2 |
Quadratic twists by: -3 |