Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424f |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
22464692224 = 224 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -1 1 4 0 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1360,18368] |
[a1,a2,a3,a4,a6] |
j |
67967263441/5484544 |
j-invariant |
L |
2.3545145270244 |
L(r)(E,1)/r! |
Ω |
1.1772572635122 |
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 |
2678k1 85696ca1 |
Quadratic twists by: -4 8 |