Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dq |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-51355938816000 = -1 · 215 · 39 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1229108,-524177769] |
[a1,a2,a3,a4,a6] |
j |
-5748703487739833929/1437696000 |
j-invariant |
L |
4.301533594468 |
L(r)(E,1)/r! |
Ω |
0.071692226590074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110g2 57330es2 |
Quadratic twists by: -3 -7 |