Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bw |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-62099136 = -1 · 26 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,378] |
[a1,a2,a3,a4,a6] |
Generators |
[13:53:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
4.436251374512 |
L(r)(E,1)/r! |
Ω |
1.508581828886 |
Real period |
R |
2.9406766604021 |
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 |
6336cf1 3168l1 704l1 69696fo1 |
Quadratic twists by: -4 8 -3 -11 |