Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770m |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
39732322500 = 22 · 37 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1743,26158] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:120:1] [-31:240:1] |
Generators of the group modulo torsion |
j |
585137119743721/39732322500 |
j-invariant |
L |
5.8492146831039 |
L(r)(E,1)/r! |
Ω |
1.1272824962474 |
Real period |
R |
0.18531337538901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310cc1 83850bs1 |
Quadratic twists by: -3 5 |