Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81984p |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.0272229119959E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7189217,-7575582879] |
[a1,a2,a3,a4,a6] |
Generators |
[3721:131072:1] [4399:214256:1] |
Generators of the group modulo torsion |
j |
-156757608184131485497/3918544433577984 |
j-invariant |
L |
8.1191320876016 |
L(r)(E,1)/r! |
Ω |
0.046031788426861 |
Real period |
R |
14.698415242066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81984cl2 2562f2 |
Quadratic twists by: -4 8 |