Atkin-Lehner |
2+ 3+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486f |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1342602 = 2 · 33 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 2 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13535,600483] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1131:1] [61:50:1] |
Generators of the group modulo torsion |
j |
274251257173077625/1342602 |
j-invariant |
L |
3.2906947055152 |
L(r)(E,1)/r! |
Ω |
1.8345813245408 |
Real period |
R |
3.5874067412497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888r2 19458e2 |
Quadratic twists by: -4 -3 |