Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032p |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-349750199959552 = -1 · 214 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6419,921298] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3430:1] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
5.758621476662 |
L(r)(E,1)/r! |
Ω |
0.45794892341178 |
Real period |
R |
1.5718514615559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254b1 72128bc1 2576j1 |
Quadratic twists by: -4 8 -7 |