Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572f |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
57142740816 = 24 · 39 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33264,-2335095] |
[a1,a2,a3,a4,a6] |
j |
37682675712/529 |
j-invariant |
L |
2.1210824610935 |
L(r)(E,1)/r! |
Ω |
0.3535137435227 |
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 |
40572b1 40572i1 |
Quadratic twists by: -3 -7 |