Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208ci |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
664618752 = 28 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,-1240] |
[a1,a2,a3,a4,a6] |
j |
24334000/7569 |
j-invariant |
L |
2.416632081582 |
L(r)(E,1)/r! |
Ω |
1.20831604031 |
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 |
17052c2 68208bd2 |
Quadratic twists by: -4 -7 |