Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128bx |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
-3170875012318937088 = -1 · 214 · 39 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -7 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,214587,76727331] |
[a1,a2,a3,a4,a6] |
j |
66697871337344000/193534851826107 |
j-invariant |
L |
1.5972747568258 |
L(r)(E,1)/r! |
Ω |
0.17747497298799 |
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 |
40128b1 10032a1 120384cm1 |
Quadratic twists by: -4 8 -3 |