Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688n |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16487515333632 = 210 · 3 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60384,5728080] |
[a1,a2,a3,a4,a6] |
Generators |
[152:196:1] |
Generators of the group modulo torsion |
j |
202119559492/136857 |
j-invariant |
L |
3.2280720481858 |
L(r)(E,1)/r! |
Ω |
0.68856564117189 |
Real period |
R |
1.1720277106393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344u4 6384k3 |
Quadratic twists by: -4 -7 |