Atkin-Lehner |
2- 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20916b |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-20492994816 = -1 · 28 · 39 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,5238] |
[a1,a2,a3,a4,a6] |
j |
2963088/4067 |
j-invariant |
L |
3.2791550610612 |
L(r)(E,1)/r! |
Ω |
0.8197887652653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664bi1 20916e1 |
Quadratic twists by: -4 -3 |