Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288v |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-34688729088 = -1 · 218 · 33 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1635,26978] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:208:1] [17:-64:1] |
Generators of the group modulo torsion |
j |
-4370722875/313664 |
j-invariant |
L |
9.6309389904751 |
L(r)(E,1)/r! |
Ω |
1.1416012188447 |
Real period |
R |
2.1090856490635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6786a1 54288w1 |
Quadratic twists by: -4 -3 |