Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6768o |
Isogeny class |
Conductor |
6768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
48329844379582464 = 215 · 322 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308451,65082850] |
[a1,a2,a3,a4,a6] |
Generators |
[353:432:1] |
Generators of the group modulo torsion |
j |
1086913000972513/16185567096 |
j-invariant |
L |
3.5934062494775 |
L(r)(E,1)/r! |
Ω |
0.35832457975889 |
Real period |
R |
2.5070888605349 |
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 |
846c3 27072cd3 2256p3 |
Quadratic twists by: -4 8 -3 |