Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22816a |
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] |
j |
-3796416/22103 |
j-invariant |
L |
2.3306336730012 |
L(r)(E,1)/r! |
Ω |
2.3306336730012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22816d1 45632a1 |
Quadratic twists by: -4 8 |