Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bz |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2846016000000 = -1 · 212 · 36 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,78464] |
[a1,a2,a3,a4,a6] |
Generators |
[13:315:1] |
Generators of the group modulo torsion |
j |
107850176/953125 |
j-invariant |
L |
6.4836767680228 |
L(r)(E,1)/r! |
Ω |
0.58937937641143 |
Real period |
R |
1.8334757513943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840by2 9760c2 |
Quadratic twists by: -4 -3 |