Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424c |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-342784 = -1 · 28 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 0 3 0 -4 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4,28] |
[a1,a2,a3,a4,a6] |
j |
27648/1339 |
j-invariant |
L |
2.3048888906043 |
L(r)(E,1)/r! |
Ω |
2.3048888906043 |
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 |
10712e1 85696bh1 |
Quadratic twists by: -4 8 |