Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824g |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-20627310348288 = -1 · 211 · 310 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2688,-225900] |
[a1,a2,a3,a4,a6] |
Generators |
[102:756:1] |
Generators of the group modulo torsion |
j |
-1049163349250/10071928881 |
j-invariant |
L |
5.682770333014 |
L(r)(E,1)/r! |
Ω |
0.28915326662837 |
Real period |
R |
0.49132856073849 |
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 |
9912k2 79296bd2 59472i2 |
Quadratic twists by: -4 8 -3 |