Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22816d |
Isogeny class |
Conductor |
22816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1414592 = -1 · 26 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 0 4 2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[4865:17520:343] |
Generators of the group modulo torsion |
j |
-3796416/22103 |
j-invariant |
L |
7.1812069826313 |
L(r)(E,1)/r! |
Ω |
1.1263094169893 |
Real period |
R |
6.375874048738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22816a1 45632g1 |
Quadratic twists by: -4 8 |