Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536bf |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-54483722496 = -1 · 28 · 33 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,729,8290] |
[a1,a2,a3,a4,a6] |
Generators |
[6054:48655:216] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
5.6421518311222 |
L(r)(E,1)/r! |
Ω |
0.75160799837171 |
Real period |
R |
7.5067745999762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884d2 67536bd2 |
Quadratic twists by: -4 -3 |