Atkin-Lehner |
3- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3243c |
Isogeny class |
Conductor |
3243 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
368 |
Modular degree for the optimal curve |
Δ |
-29187 = -1 · 33 · 23 · 47 |
Discriminant |
Eigenvalues |
0 3- 0 -4 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-223,1210] |
[a1,a2,a3,a4,a6] |
j |
-1231925248000/29187 |
j-invariant |
L |
1.1503709112892 |
L(r)(E,1)/r! |
Ω |
3.4511127338675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51888m1 9729c1 81075f1 74589i1 |
Quadratic twists by: -4 -3 5 -23 |