Atkin-Lehner |
2- 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36540k |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
17075509592400 = 24 · 36 · 52 · 74 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72432,-7500519] |
[a1,a2,a3,a4,a6] |
j |
3603027962363904/1463949725 |
j-invariant |
L |
1.7461388536686 |
L(r)(E,1)/r! |
Ω |
0.2910231422772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060b1 |
Quadratic twists by: -3 |