Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bv |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14361746611968 = 28 · 34 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6092,18012] |
[a1,a2,a3,a4,a6] |
j |
830321872/476847 |
j-invariant |
L |
2.4029867595029 |
L(r)(E,1)/r! |
Ω |
0.60074668943227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052p2 9744w2 |
Quadratic twists by: -4 -7 |