Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
110448bs |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
31167892246608 = 24 · 316 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136488,-19406545] |
[a1,a2,a3,a4,a6] |
Generators |
[-863629610292980:-41592849516493:4080659192000] |
Generators of the group modulo torsion |
j |
24107912751087616/2672144397 |
j-invariant |
L |
10.512698256826 |
L(r)(E,1)/r! |
Ω |
0.24838697913285 |
Real period |
R |
21.161935120782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27612f1 36816l1 |
Quadratic twists by: -4 -3 |