Atkin-Lehner |
2+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352d |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3201882112 = 211 · 11 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-595,-4878] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:18:1] |
Generators of the group modulo torsion |
j |
11374823250/1563419 |
j-invariant |
L |
4.4123896982163 |
L(r)(E,1)/r! |
Ω |
0.97546529071793 |
Real period |
R |
2.2616846235623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33176a2 |
Quadratic twists by: -4 |