Atkin-Lehner |
2- 3+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504n |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-4575396261888 = -1 · 212 · 32 · 233 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -6 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2440,91056] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:162:1] [-20:184:1] |
Generators of the group modulo torsion |
j |
392062442759/1117040103 |
j-invariant |
L |
4.9287164280344 |
L(r)(E,1)/r! |
Ω |
0.54388515699541 |
Real period |
R |
0.75517113077025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6969b1 |
Quadratic twists by: -4 |