Atkin-Lehner |
2+ 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
44240a |
Isogeny class |
Conductor |
44240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-17696000000 = -1 · 211 · 56 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-9760] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-500:1] |
Generators of the group modulo torsion |
j |
-21558430658/8640625 |
j-invariant |
L |
2.898682718736 |
L(r)(E,1)/r! |
Ω |
0.44936969189916 |
Real period |
R |
0.80631904281295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22120f1 |
Quadratic twists by: -4 |