Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480i |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8709727500000000 = -1 · 28 · 310 · 510 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81543,10024342] |
[a1,a2,a3,a4,a6] |
Generators |
[29:2772:1] |
Generators of the group modulo torsion |
j |
-321304105131856/46669921875 |
j-invariant |
L |
6.159179692371 |
L(r)(E,1)/r! |
Ω |
0.39861429677902 |
Real period |
R |
3.8628692837523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21240i2 14160i2 |
Quadratic twists by: -4 -3 |