Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228a |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8243480956368 = 24 · 3 · 78 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1459873,679410166] |
[a1,a2,a3,a4,a6] |
Generators |
[10638168:46064557:13824] |
Generators of the group modulo torsion |
j |
182793612716032000/4379277 |
j-invariant |
L |
4.6198620740631 |
L(r)(E,1)/r! |
Ω |
0.53456921027256 |
Real period |
R |
8.6422150495864 |
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 |
72912ct3 54684j3 2604f3 |
Quadratic twists by: -4 -3 -7 |