Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504j |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1224270307636992 = -1 · 28 · 36 · 7 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17012,-1445056] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2904:1] |
Generators of the group modulo torsion |
j |
2126788679486000/4782305889207 |
j-invariant |
L |
7.4985343490747 |
L(r)(E,1)/r! |
Ω |
0.2518099328549 |
Real period |
R |
0.82718190837824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85008a2 127512bi2 |
Quadratic twists by: -4 -3 |