Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984cy |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.9567609845188E+20 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3639963,2958904010] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/4952198 |
j-invariant |
L |
2.4964387674472 |
L(r)(E,1)/r! |
Ω |
0.1560274229572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6498x2 5776o2 2736x2 |
Quadratic twists by: -4 -3 -19 |