Atkin-Lehner |
2+ 3- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27234g |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1773741946767282 = -1 · 2 · 318 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15579,1879119] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:506:1] |
Generators of the group modulo torsion |
j |
573586914339503/2433116525058 |
j-invariant |
L |
5.1633159195779 |
L(r)(E,1)/r! |
Ω |
0.3365082494077 |
Real period |
R |
3.835950477192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078j2 |
Quadratic twists by: -3 |