Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2784b |
Isogeny class |
Conductor |
2784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-3608064 = -1 · 29 · 35 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 6 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,72] |
[a1,a2,a3,a4,a6] |
j |
2863288/7047 |
j-invariant |
L |
1.7422506021446 |
L(r)(E,1)/r! |
Ω |
1.7422506021446 |
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 |
2784d1 5568bb1 8352e1 69600bs1 |
Quadratic twists by: -4 8 -3 5 |