Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040df |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3238302842880 = 218 · 3 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7905,-258945] |
[a1,a2,a3,a4,a6] |
j |
1771561/105 |
j-invariant |
L |
2.0327565946479 |
L(r)(E,1)/r! |
Ω |
0.50818914864954 |
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 |
47040fb1 735a1 6720g1 |
Quadratic twists by: -4 8 -7 |