Atkin-Lehner |
3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3243c |
Isogeny class |
Conductor |
3243 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3789643323 = -1 · 3 · 233 · 473 |
Discriminant |
Eigenvalues |
0 3- 0 -4 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-73,2947] |
[a1,a2,a3,a4,a6] |
j |
-43614208000/3789643323 |
j-invariant |
L |
1.1503709112892 |
L(r)(E,1)/r! |
Ω |
1.1503709112892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51888m2 9729c2 81075f2 74589i2 |
Quadratic twists by: -4 -3 5 -23 |