Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32193d |
Isogeny class |
Conductor |
32193 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-100093437279171 = -1 · 37 · 76 · 733 |
Discriminant |
Eigenvalues |
0 3- -3 7- 0 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12054,-700835] |
[a1,a2,a3,a4,a6] |
Generators |
[133:220:1] |
Generators of the group modulo torsion |
j |
-2258403328/1167051 |
j-invariant |
L |
3.5332170989219 |
L(r)(E,1)/r! |
Ω |
0.22240157442506 |
Real period |
R |
1.9858318831912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10731b2 657c2 |
Quadratic twists by: -3 -7 |