Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
6489d |
Isogeny class |
Conductor |
6489 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30696091209 = 310 · 72 · 1032 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2178,-37665] |
[a1,a2,a3,a4,a6] |
Generators |
[2126:32971:8] |
Generators of the group modulo torsion |
j |
1567768622113/42107121 |
j-invariant |
L |
4.2637551721458 |
L(r)(E,1)/r! |
Ω |
0.6999835081461 |
Real period |
R |
6.0912223252779 |
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 |
103824bw2 2163b2 45423k2 |
Quadratic twists by: -4 -3 -7 |