Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066cb |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
529187468564831076 = 22 · 32 · 74 · 118 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-691457,218234171] |
[a1,a2,a3,a4,a6] |
Generators |
[334:109939:8] |
Generators of the group modulo torsion |
j |
20637789249996073/298712530116 |
j-invariant |
L |
10.348047649061 |
L(r)(E,1)/r! |
Ω |
0.29359138399957 |
Real period |
R |
2.2029017653039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996235 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006d2 |
Quadratic twists by: -11 |