Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688n |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-329702238114816 = -1 · 210 · 3 · 77 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16056,381984] |
[a1,a2,a3,a4,a6] |
Generators |
[698:12495:8] |
Generators of the group modulo torsion |
j |
3799448348/2736741 |
j-invariant |
L |
3.2280720481858 |
L(r)(E,1)/r! |
Ω |
0.34428282058595 |
Real period |
R |
4.688110842557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22344u3 6384k4 |
Quadratic twists by: -4 -7 |