Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860y |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-39093062400 = -1 · 28 · 38 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,9519] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-90:1] |
Generators of the group modulo torsion |
j |
57344/3116475 |
j-invariant |
L |
7.1982403858894 |
L(r)(E,1)/r! |
Ω |
0.9099541994817 |
Real period |
R |
0.16480317521065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860h1 |
Quadratic twists by: -7 |