Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608j |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
15309471744 = 218 · 34 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-624,-576] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:72:1] [-6:54:1] |
Generators of the group modulo torsion |
j |
6570725617/3737664 |
j-invariant |
L |
6.7762764241873 |
L(r)(E,1)/r! |
Ω |
1.0321743652917 |
Real period |
R |
3.2825250519915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326n1 103824bk1 |
Quadratic twists by: -4 -3 |