Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984bq |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[-110042237024:654794612505:1263214441] |
Generators of the group modulo torsion |
j |
709899390552743/622683042408 |
j-invariant |
L |
6.9826168450119 |
L(r)(E,1)/r! |
Ω |
0.21017433906542 |
Real period |
R |
16.611487574423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984bh3 20496u4 |
Quadratic twists by: -4 8 |