Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330df |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.4438781065906E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3655532,1974365551] |
[a1,a2,a3,a4,a6] |
j |
2332898469575883/623520876160 |
j-invariant |
L |
3.9612294573492 |
L(r)(E,1)/r! |
Ω |
0.14147248053754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330a2 8190ba2 |
Quadratic twists by: -3 -7 |