Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bu |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
624333422592 = 218 · 39 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9612,360720] |
[a1,a2,a3,a4,a6] |
Generators |
[82:352:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
3.295052434207 |
L(r)(E,1)/r! |
Ω |
0.91824285034095 |
Real period |
R |
0.89710811061136 |
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 |
6336e2 1584i2 6336bn2 69696ew2 |
Quadratic twists by: -4 8 -3 -11 |