Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42640q |
Isogeny class |
Conductor |
42640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2494138449920000 = -1 · 218 · 54 · 135 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 2 2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16880,2244032] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-1690:1] |
Generators of the group modulo torsion |
j |
129854009067119/608920520000 |
j-invariant |
L |
5.4661758173344 |
L(r)(E,1)/r! |
Ω |
0.32831086898955 |
Real period |
R |
0.41623475900763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5330h1 |
Quadratic twists by: -4 |