Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40768db |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3870451447382933504 = -1 · 219 · 76 · 137 |
Discriminant |
Eigenvalues |
2- 3 -1 7- -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-666988,-230040496] |
[a1,a2,a3,a4,a6] |
Generators |
[535605370386699210:-262482738679501718048:2230120049625] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
9.6567945062235 |
L(r)(E,1)/r! |
Ω |
0.082979985252532 |
Real period |
R |
29.09374615106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768bc2 10192bn2 832j2 |
Quadratic twists by: -4 8 -7 |