Atkin-Lehner |
2- 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248bc |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-9082616832 = -1 · 210 · 36 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,-7976] |
[a1,a2,a3,a4,a6] |
Generators |
[212439:246685:6859] |
Generators of the group modulo torsion |
j |
-42592000/12167 |
j-invariant |
L |
4.5149390529316 |
L(r)(E,1)/r! |
Ω |
0.46409562704357 |
Real period |
R |
9.7284671301325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13248n2 3312m2 1472m2 |
Quadratic twists by: -4 8 -3 |