Atkin-Lehner |
3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19383d |
Isogeny class |
Conductor |
19383 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-5.6150140886284E+26 |
Discriminant |
Eigenvalues |
0 3- 3 7- 0 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-81919999,-1175279230106] |
[a1,a2,a3,a4,a6] |
j |
-60798593485161010581995487232/561501408862843185576294819 |
j-invariant |
L |
3.9478808467308 |
L(r)(E,1)/r! |
Ω |
0.021932671370727 |
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 |
58149i2 |
Quadratic twists by: -3 |