Atkin-Lehner |
2- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
32336i |
Isogeny class |
Conductor |
32336 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-599200148488192 = -1 · 227 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 2 0 1 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20872,193136] |
[a1,a2,a3,a4,a6] |
Generators |
[19380:529408:27] |
Generators of the group modulo torsion |
j |
245490762458375/146289098752 |
j-invariant |
L |
8.765510109064 |
L(r)(E,1)/r! |
Ω |
0.31482476563921 |
Real period |
R |
2.3202087493728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4042a2 129344bg2 |
Quadratic twists by: -4 8 |