Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fv |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-21694099123200 = -1 · 210 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1699,-221901] |
[a1,a2,a3,a4,a6] |
j |
4499456/180075 |
j-invariant |
L |
1.3056121587879 |
L(r)(E,1)/r! |
Ω |
0.32640303962291 |
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 |
47040e1 11760j1 6720bn1 |
Quadratic twists by: -4 8 -7 |