Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cq |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-277862400000000 = -1 · 217 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3935,797663] |
[a1,a2,a3,a4,a6] |
j |
51396982702/2119921875 |
j-invariant |
L |
3.3283864288074 |
L(r)(E,1)/r! |
Ω |
0.41604830292106 |
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 |
64320t3 16080b4 |
Quadratic twists by: -4 8 |