Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192w |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-864141228527616 = -1 · 212 · 316 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113569,14836849] |
[a1,a2,a3,a4,a6] |
Generators |
[248:1365:1] |
Generators of the group modulo torsion |
j |
-39550046044174912/210971979621 |
j-invariant |
L |
3.9187862452636 |
L(r)(E,1)/r! |
Ω |
0.50254435166107 |
Real period |
R |
3.898945667493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192bc2 72384dl1 108576g2 |
Quadratic twists by: -4 8 -3 |