Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860h |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-4599259698297600 = -1 · 28 · 38 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,915,-3263175] |
[a1,a2,a3,a4,a6] |
Generators |
[147:162:1] |
Generators of the group modulo torsion |
j |
57344/3116475 |
j-invariant |
L |
5.8202108554447 |
L(r)(E,1)/r! |
Ω |
0.20026807319159 |
Real period |
R |
2.4218417022766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860y1 |
Quadratic twists by: -7 |