Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480j |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1806049094400 = -1 · 28 · 314 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1617,-59618] |
[a1,a2,a3,a4,a6] |
Generators |
[29:108:1] |
Generators of the group modulo torsion |
j |
2505453104/9677475 |
j-invariant |
L |
3.9862569787395 |
L(r)(E,1)/r! |
Ω |
0.42424788924067 |
Real period |
R |
2.3490140315584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21240c2 14160j2 |
Quadratic twists by: -4 -3 |