Atkin-Lehner |
2- 3- 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21942i |
Isogeny class |
Conductor |
21942 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-85310496 = -1 · 25 · 37 · 23 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 1 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77,533] |
[a1,a2,a3,a4,a6] |
Generators |
[3:16:1] |
Generators of the group modulo torsion |
j |
-68417929/117024 |
j-invariant |
L |
8.2920908196488 |
L(r)(E,1)/r! |
Ω |
1.7155410173594 |
Real period |
R |
0.24167567944286 |
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 |
7314b1 |
Quadratic twists by: -3 |