Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
34608j |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
153307348992 = 215 · 32 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6384,197568] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-112:1] [-63:588:1] |
Generators of the group modulo torsion |
j |
7026036894577/37428552 |
j-invariant |
L |
6.7762764241873 |
L(r)(E,1)/r! |
Ω |
1.0321743652917 |
Real period |
R |
0.82063126299787 |
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 |
4326n2 103824bk2 |
Quadratic twists by: -4 -3 |