Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120k |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-324673592320 = -1 · 210 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-27420] |
[a1,a2,a3,a4,a6] |
Generators |
[79:686:1] |
Generators of the group modulo torsion |
j |
-4/2695 |
j-invariant |
L |
2.9721017919667 |
L(r)(E,1)/r! |
Ω |
0.44146977628225 |
Real period |
R |
1.6830720649778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560b1 6160e1 |
Quadratic twists by: -4 -7 |