Atkin-Lehner |
2+ 3- |
Signs for the Atkin-Lehner involutions |
Class |
72a |
Isogeny class |
Conductor |
72 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4 |
Modular degree for the optimal curve |
Δ |
-34992 = -1 · 24 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-7] |
[a1,a2,a3,a4,a6] |
j |
2048/3 |
j-invariant |
L |
0.97326842113756 |
L(r)(E,1)/r! |
Ω |
1.9465368422751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
144b1 576d1 24a4 1800s1 |
Quadratic twists by: -4 8 -3 5 |