Atkin-Lehner |
2- 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240l |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
12597971490000 = 24 · 32 · 54 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18395,951132] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1365:1] [-76:1380:1] |
Generators of the group modulo torsion |
j |
43025578182363136/787373218125 |
j-invariant |
L |
8.3093164695617 |
L(r)(E,1)/r! |
Ω |
0.71161576261563 |
Real period |
R |
0.48652873889765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480o1 |
Quadratic twists by: -4 |