Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18228j |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
131895695301888 = 28 · 3 · 78 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86893,-9872353] |
[a1,a2,a3,a4,a6] |
j |
49165312000/89373 |
j-invariant |
L |
2.5028963911221 |
L(r)(E,1)/r! |
Ω |
0.27809959901357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912bf2 54684i2 18228b2 |
Quadratic twists by: -4 -3 -7 |