Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320b |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.6830255555208E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,506984,1490513980] |
[a1,a2,a3,a4,a6] |
j |
14073614784514581404/945607964406328125 |
j-invariant |
L |
0.4777474503674 |
L(r)(E,1)/r! |
Ω |
0.11943686259185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640t2 57960bs2 96600cd2 |
Quadratic twists by: -4 -3 5 |