Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200cl |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-5929200 = -1 · 24 · 35 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 1 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,723] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
-1097440000/14823 |
j-invariant |
L |
9.4498744277226 |
L(r)(E,1)/r! |
Ω |
2.4019197846549 |
Real period |
R |
0.78686011803095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300c1 73200ca1 |
Quadratic twists by: -4 5 |