Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428m |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
464256 |
Modular degree for the optimal curve |
Δ |
-485248839616944 = -1 · 24 · 37 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -1 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105456,-13223743] |
[a1,a2,a3,a4,a6] |
Generators |
[19243970:7550679447:125] |
Generators of the group modulo torsion |
j |
-13631488/51 |
j-invariant |
L |
10.809740153549 |
L(r)(E,1)/r! |
Ω |
0.13243551812674 |
Real period |
R |
13.603777755478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34476h1 103428n1 |
Quadratic twists by: -3 13 |