Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cd |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.0429943776528E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30745452,70781694896] |
[a1,a2,a3,a4,a6] |
Generators |
[2079196:112277880:343] |
Generators of the group modulo torsion |
j |
-16818951115904497561/1592332281446400 |
j-invariant |
L |
6.9973435306045 |
L(r)(E,1)/r! |
Ω |
0.094710781933644 |
Real period |
R |
9.235146447617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440fb3 1170k3 12480b3 |
Quadratic twists by: -4 8 -3 |