Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dd |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5710862819041E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187032483,-984516180318] |
[a1,a2,a3,a4,a6] |
Generators |
[-31000619953177:-959368354750:3921887033] |
Generators of the group modulo torsion |
j |
5066026756449723/11000000 |
j-invariant |
L |
5.9085892964297 |
L(r)(E,1)/r! |
Ω |
0.040824450835742 |
Real period |
R |
18.091453700545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890e3 87120dq1 7920u3 |
Quadratic twists by: -4 -3 -11 |