Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572q |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-5596592688513792 = -1 · 28 · 313 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -5 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69384,7901908] |
[a1,a2,a3,a4,a6] |
j |
-4039597907968/612012267 |
j-invariant |
L |
1.6525169017678 |
L(r)(E,1)/r! |
Ω |
0.41312922545079 |
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 |
13524k1 40572m1 |
Quadratic twists by: -3 -7 |