Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8352i |
Isogeny class |
Conductor |
8352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5752419420672 = 29 · 318 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,-69874] |
[a1,a2,a3,a4,a6] |
j |
36396323144/15411789 |
j-invariant |
L |
1.1811135590153 |
L(r)(E,1)/r! |
Ω |
0.59055677950763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8352j3 16704cm3 2784a3 |
Quadratic twists by: -4 8 -3 |