Atkin-Lehner |
3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8109i |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-53203149 = -1 · 310 · 17 · 53 |
Discriminant |
Eigenvalues |
1 3- 3 -3 0 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603,-5562] |
[a1,a2,a3,a4,a6] |
Generators |
[3630:1686:125] |
Generators of the group modulo torsion |
j |
-33293019313/72981 |
j-invariant |
L |
5.6646479814505 |
L(r)(E,1)/r! |
Ω |
0.48161436754953 |
Real period |
R |
5.880895964828 |
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 |
129744bl1 2703c1 |
Quadratic twists by: -4 -3 |