Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180n |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-9830419200 = -1 · 28 · 36 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,4772] |
[a1,a2,a3,a4,a6] |
Generators |
[16:90:1] [-11:63:1] |
Generators of the group modulo torsion |
j |
-65536/52675 |
j-invariant |
L |
9.1889157513244 |
L(r)(E,1)/r! |
Ω |
1.0430542195501 |
Real period |
R |
0.36706767727131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6020c1 |
Quadratic twists by: -3 |