Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285t |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.9930123427026E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,188572,2147616956] |
[a1,a2,a3,a4,a6] |
Generators |
[790:-53208:1] [2665:145542:1] |
Generators of the group modulo torsion |
j |
210751100351/566398828125 |
j-invariant |
L |
5.8750932182467 |
L(r)(E,1)/r! |
Ω |
0.11574942773939 |
Real period |
R |
6.3446244803962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999925606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43095q3 9945i4 |
Quadratic twists by: -3 13 |