Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bm |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-107053056 = -1 · 215 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,84,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] [2:24:1] |
Generators of the group modulo torsion |
j |
74088/121 |
j-invariant |
L |
4.445556449919 |
L(r)(E,1)/r! |
Ω |
1.2844859517072 |
Real period |
R |
0.86524037962648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336bt2 3168r2 6336br2 69696er2 |
Quadratic twists by: -4 8 -3 -11 |