Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240co |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
15531600 = 24 · 3 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12941,-570966] |
[a1,a2,a3,a4,a6] |
j |
14980999869497344/970725 |
j-invariant |
L |
4.0285365658255 |
L(r)(E,1)/r! |
Ω |
0.44761517392865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060a1 |
Quadratic twists by: -4 |