Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228a |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7237244442210048 = 28 · 36 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103308,-12073032] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:55566:1] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
4.6198620740631 |
L(r)(E,1)/r! |
Ω |
0.26728460513628 |
Real period |
R |
1.4403691749311 |
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 |
72912ct2 54684j2 2604f2 |
Quadratic twists by: -4 -3 -7 |