Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bd |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-39718633699584 = -1 · 28 · 39 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6561,-223830] |
[a1,a2,a3,a4,a6] |
Generators |
[57135561010:-1606239838835:73034632] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
6.4902713596336 |
L(r)(E,1)/r! |
Ω |
0.34549406234942 |
Real period |
R |
18.785478730023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884b2 67536bf2 |
Quadratic twists by: -4 -3 |