Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784x |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
368370941912064 = 210 · 32 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18984,-407484] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1260:1] |
Generators of the group modulo torsion |
j |
153091012/74529 |
j-invariant |
L |
6.6648212187974 |
L(r)(E,1)/r! |
Ω |
0.42717829645003 |
Real period |
R |
3.9004914775624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392r2 4368f2 |
Quadratic twists by: -4 13 |