Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19360u |
Isogeny class |
Conductor |
19360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-181407846400 = -1 · 212 · 52 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-20561] |
[a1,a2,a3,a4,a6] |
Generators |
[74:615:1] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
3.3842727736505 |
L(r)(E,1)/r! |
Ω |
0.45400861505367 |
Real period |
R |
3.7271019331324 |
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 |
19360e2 38720bl1 96800s2 160a2 |
Quadratic twists by: -4 8 5 -11 |