Atkin-Lehner |
3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
6771a |
Isogeny class |
Conductor |
6771 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-45846441 = -1 · 32 · 372 · 612 |
Discriminant |
Eigenvalues |
-1 3+ -2 2 -2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1,326] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] |
Generators of the group modulo torsion |
j |
103823/45846441 |
j-invariant |
L |
1.9486051424227 |
L(r)(E,1)/r! |
Ω |
1.600241546533 |
Real period |
R |
0.60884719142696 |
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 |
108336w2 20313e2 |
Quadratic twists by: -4 -3 |