Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928z |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1060770816 = 210 · 36 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,520] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:45:1] [18:40:1] |
Generators of the group modulo torsion |
j |
2725888/1421 |
j-invariant |
L |
12.897674969849 |
L(r)(E,1)/r! |
Ω |
1.3665166518866 |
Real period |
R |
4.7191795847487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ee1 14616c1 12992h1 |
Quadratic twists by: -4 8 -3 |