Atkin-Lehner |
2- 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
32436i |
Isogeny class |
Conductor |
32436 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-58470686376192 = -1 · 28 · 314 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12063,-628810] |
[a1,a2,a3,a4,a6] |
j |
-1040212820176/313307433 |
j-invariant |
L |
4.0374201076975 |
L(r)(E,1)/r! |
Ω |
0.22430111709402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129744bt2 10812d2 |
Quadratic twists by: -4 -3 |