Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330br |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2810981767024E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6998185350,-145326346951500] |
[a1,a2,a3,a4,a6] |
j |
441940971557374648005559249/149371122509129665872000 |
j-invariant |
L |
0.27131955170125 |
L(r)(E,1)/r! |
Ω |
0.016957471961807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dg4 8190q4 |
Quadratic twists by: -3 -7 |