Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330cc |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-12660189954048000 = -1 · 224 · 36 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81909,-10501835] |
[a1,a2,a3,a4,a6] |
j |
-1701366814932001/354418688000 |
j-invariant |
L |
1.6745184936997 |
L(r)(E,1)/r! |
Ω |
0.13954320792877 |
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 |
6370n1 57330p1 |
Quadratic twists by: -3 -7 |