Atkin-Lehner |
2+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
368d |
Isogeny class |
Conductor |
368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-368 = -1 · 24 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -4 -2 4 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
-256/23 |
j-invariant |
L |
1.679266620357 |
L(r)(E,1)/r! |
Ω |
2.3725142888947 |
Real period |
R |
0.70780042430821 |
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 |
184a1 1472j1 3312h1 9200h1 |
Quadratic twists by: -4 8 -3 5 |