Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784v |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
44139121737984 = 28 · 36 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42644,-3388644] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:66:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
6.6083570512305 |
L(r)(E,1)/r! |
Ω |
0.33232940377692 |
Real period |
R |
3.3141600753743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392q2 336c2 |
Quadratic twists by: -4 13 |