Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
944d |
Isogeny class |
Conductor |
944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-944 = -1 · 24 · 59 |
Discriminant |
Eigenvalues |
2+ 3 -1 -3 4 6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2,-1] |
[a1,a2,a3,a4,a6] |
j |
55296/59 |
j-invariant |
L |
2.6857753111359 |
L(r)(E,1)/r! |
Ω |
2.6857753111359 |
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 |
472a1 3776s1 8496e1 23600g1 |
Quadratic twists by: -4 8 -3 5 |