Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216bd |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28041364201746432 = -1 · 212 · 3 · 192 · 436 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-503288,-137831148] |
[a1,a2,a3,a4,a6] |
j |
-3442027642056789625/6846036182067 |
j-invariant |
L |
1.433783451375 |
L(r)(E,1)/r! |
Ω |
0.089611465711349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451b2 117648bs2 |
Quadratic twists by: -4 -3 |