Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cy |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3638048256000 = -1 · 212 · 39 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3132,-62208] |
[a1,a2,a3,a4,a6] |
Generators |
[37:323:1] |
Generators of the group modulo torsion |
j |
42144192/45125 |
j-invariant |
L |
4.9318715934035 |
L(r)(E,1)/r! |
Ω |
0.42670821090004 |
Real period |
R |
2.8894871644437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999393 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ct1 27360s1 54720dh1 |
Quadratic twists by: -4 8 -3 |