Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648bh |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
21576548352 = 220 · 3 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27393,1735935] |
[a1,a2,a3,a4,a6] |
j |
8671983378625/82308 |
j-invariant |
L |
3.2731413816312 |
L(r)(E,1)/r! |
Ω |
1.0910471272104 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3648b3 912e3 10944ci3 91200gk3 |
Quadratic twists by: -4 8 -3 5 |