Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dq |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-4.6301518296E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20549067,37318639226] |
[a1,a2,a3,a4,a6] |
Generators |
[-3883:242000:1] [1397:106480:1] |
Generators of the group modulo torsion |
j |
-4898016158612283/236328125000 |
j-invariant |
L |
11.012242112733 |
L(r)(E,1)/r! |
Ω |
0.11224547921521 |
Real period |
R |
1.0219641462994 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bk2 87120dd4 7920x2 |
Quadratic twists by: -4 -3 -11 |