Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080w |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
20882706457600 = 210 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3 5+ 3 -3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8788,228488] |
[a1,a2,a3,a4,a6] |
Generators |
[18732:633725:1728] |
Generators of the group modulo torsion |
j |
89856/25 |
j-invariant |
L |
11.029994765178 |
L(r)(E,1)/r! |
Ω |
0.63531938065204 |
Real period |
R |
8.6806692043089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080co1 3380j1 54080bt1 |
Quadratic twists by: -4 8 13 |