Atkin-Lehner |
2+ 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7320g |
Isogeny class |
Conductor |
7320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
160088400 = 24 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-535,4550] |
[a1,a2,a3,a4,a6] |
j |
1060416772096/10005525 |
j-invariant |
L |
3.6555103014759 |
L(r)(E,1)/r! |
Ω |
1.827755150738 |
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 |
14640f1 58560b1 21960u1 36600w1 |
Quadratic twists by: -4 8 -3 5 |