Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572t |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-39751471872 = -1 · 28 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 3 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,672,-6860] |
[a1,a2,a3,a4,a6] |
j |
524288/621 |
j-invariant |
L |
4.9379660122575 |
L(r)(E,1)/r! |
Ω |
0.61724575153749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524l1 40572u1 |
Quadratic twists by: -3 -7 |