Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6006bd |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
293403593785302 = 2 · 34 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-271443794,-1721367884082] |
[a1,a2,a3,a4,a6] |
Generators |
[404102:85009439:8] |
Generators of the group modulo torsion |
j |
2211889682389423686563629156897/293403593785302 |
j-invariant |
L |
6.0797735379341 |
L(r)(E,1)/r! |
Ω |
0.037194572842046 |
Real period |
R |
5.1080818663325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048bs6 18018h5 42042ck6 66066be6 |
Quadratic twists by: -4 -3 -7 -11 |