Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428g |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
550160203624164432 = 24 · 38 · 137 · 174 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446160,-109012943] |
[a1,a2,a3,a4,a6] |
Generators |
[884:13689:1] |
Generators of the group modulo torsion |
j |
174456832000/9771957 |
j-invariant |
L |
8.1280430800483 |
L(r)(E,1)/r! |
Ω |
0.18537073786092 |
Real period |
R |
1.8269790918533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476o1 7956e1 |
Quadratic twists by: -3 13 |