Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006g |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
458190464187456 = 26 · 310 · 72 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56084,4984080] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:2514:1] |
Generators of the group modulo torsion |
j |
19509797127983109193/458190464187456 |
j-invariant |
L |
3.0045125755789 |
L(r)(E,1)/r! |
Ω |
0.52617361127307 |
Real period |
R |
1.4275291040867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048ca2 18018bl2 42042bs2 66066bp2 |
Quadratic twists by: -4 -3 -7 -11 |