Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328r |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-5147288314112 = -1 · 28 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 1 4 7- 3 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4356,153992] |
[a1,a2,a3,a4,a6] |
j |
-728871512656/410338673 |
j-invariant |
L |
4.9774768515087 |
L(r)(E,1)/r! |
Ω |
0.71106812164411 |
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 |
3332e1 53312ca1 119952fw1 13328i1 |
Quadratic twists by: -4 8 -3 -7 |