Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6474h |
Isogeny class |
Conductor |
6474 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
14223378 = 2 · 3 · 134 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2660,52568] |
[a1,a2,a3,a4,a6] |
Generators |
[822:-232:27] |
Generators of the group modulo torsion |
j |
2080338000862393/14223378 |
j-invariant |
L |
3.9146838430765 |
L(r)(E,1)/r! |
Ω |
1.9892884054923 |
Real period |
R |
3.9357629916993 |
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 |
51792g4 19422o3 84162v4 |
Quadratic twists by: -4 -3 13 |