Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bh |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-163232623469002752 = -1 · 221 · 312 · 74 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,118943,-11298817] |
[a1,a2,a3,a4,a6] |
j |
709899390552743/622683042408 |
j-invariant |
L |
2.1323994713096 |
L(r)(E,1)/r! |
Ω |
0.17769995548209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81984bq3 2562c4 |
Quadratic twists by: -4 8 |