Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fz |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5165871876000000 = -1 · 28 · 36 · 56 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39567,4597274] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:2610:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
7.6081131983392 |
L(r)(E,1)/r! |
Ω |
0.39588134710509 |
Real period |
R |
3.203027563081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780y4 9680t4 720i4 |
Quadratic twists by: -4 -3 -11 |