Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648v |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
70643890520064 = 228 · 36 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-350209,79885729] |
[a1,a2,a3,a4,a6] |
j |
18120364883707393/269485056 |
j-invariant |
L |
0.56296835169531 |
L(r)(E,1)/r! |
Ω |
0.56296835169531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3648r2 912k2 10944bz2 91200hm2 |
Quadratic twists by: -4 8 -3 5 |