Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824v |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-1.5506047092004E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68440064,218727503796] |
[a1,a2,a3,a4,a6] |
j |
-8655556417290033501229057/37856560283212841856 |
j-invariant |
L |
2.0617430022909 |
L(r)(E,1)/r! |
Ω |
0.10308715011454 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2478g4 79296bg3 59472ba3 |
Quadratic twists by: -4 8 -3 |