Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bp |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
503816040000 = 26 · 32 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9870,-372600] |
[a1,a2,a3,a4,a6] |
j |
1661648641672384/7872125625 |
j-invariant |
L |
1.9164628815331 |
L(r)(E,1)/r! |
Ω |
0.47911572045276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680cc1 87360gm2 |
Quadratic twists by: -4 8 |