Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cd |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1017296355468E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-502604652,4336955093936] |
[a1,a2,a3,a4,a6] |
Generators |
[13640445318500:130649448929544:1003003001] |
Generators of the group modulo torsion |
j |
73474353581350183614361/576510977802240 |
j-invariant |
L |
6.9973435306045 |
L(r)(E,1)/r! |
Ω |
0.094710781933644 |
Real period |
R |
18.470292895234 |
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 |
37440fb4 1170k4 12480b4 |
Quadratic twists by: -4 8 -3 |