Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bd |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.2544136705655E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1295184,-1796430924] |
[a1,a2,a3,a4,a6] |
j |
-997241325462146/5206220835543 |
j-invariant |
L |
1.5298828567765 |
L(r)(E,1)/r! |
Ω |
0.063745119032537 |
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 |
15288y4 122304fh3 91728bn3 4368b4 |
Quadratic twists by: -4 8 -3 -7 |