Atkin-Lehner |
3- 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68265l |
Isogeny class |
Conductor |
68265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6610006063889E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19721507,-27415328394] |
[a1,a2,a3,a4,a6] |
j |
1163634147476042127666409/227846448064314973125 |
j-invariant |
L |
0.58095380391121 |
L(r)(E,1)/r! |
Ω |
0.072619225179637 |
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 |
22755c3 |
Quadratic twists by: -3 |