Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936m |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-324334776748032 = -1 · 211 · 38 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4528,-856992] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1734:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
5.3140607516736 |
L(r)(E,1)/r! |
Ω |
0.26151593523348 |
Real period |
R |
2.5400272200092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13872b6 55488k5 20808l6 24a6 |
Quadratic twists by: -4 8 -3 17 |