Atkin-Lehner |
2+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55384a |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
856320 |
Modular degree for the optimal curve |
Δ |
-4397622061138310144 = -1 · 210 · 74 · 233 · 435 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ -5 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,395208,32301920] |
[a1,a2,a3,a4,a6] |
j |
6666530006261597468/4294552794080381 |
j-invariant |
L |
1.8373115555736 |
L(r)(E,1)/r! |
Ω |
0.1531092964274 |
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 |
110768j1 |
Quadratic twists by: -4 |