Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
40572r |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-75780199999728 = -1 · 24 · 36 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2499,-416059] |
[a1,a2,a3,a4,a6] |
j |
1257728/55223 |
j-invariant |
L |
1.762106451894 |
L(r)(E,1)/r! |
Ω |
0.29368440864481 |
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 |
4508c1 5796e1 |
Quadratic twists by: -3 -7 |