Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1218k |
Isogeny class |
Conductor |
1218 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
274663872 = 26 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2373,44289] |
[a1,a2,a3,a4,a6] |
j |
1477843225692625/274663872 |
j-invariant |
L |
3.3744995006746 |
L(r)(E,1)/r! |
Ω |
1.6872497503373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
9744h2 38976j2 3654m2 30450b2 |
Quadratic twists by: -4 8 -3 5 |