Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cf |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.1333824546631E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298515208,1147651033588] |
[a1,a2,a3,a4,a6] |
Generators |
[2465950530:479573411968:857375] |
Generators of the group modulo torsion |
j |
73546685675688065425/28334561366578432 |
j-invariant |
L |
7.8818646089742 |
L(r)(E,1)/r! |
Ω |
0.044531225152826 |
Real period |
R |
14.749696386968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650b2 53200dd2 |
Quadratic twists by: -4 5 |