Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192bp |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9955431422284E+21 |
Discriminant |
Eigenvalues |
2- 2 2 -2 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3182017,393264225] |
[a1,a2,a3,a4,a6] |
j |
13592251860742707697/7612392968095424 |
j-invariant |
L |
4.0774878715722 |
L(r)(E,1)/r! |
Ω |
0.1274214958816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192m2 16048t2 |
Quadratic twists by: -4 8 |