Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770m |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-5748411292650 = -1 · 2 · 314 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1507,113258] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:130:1] [-18:292:1] |
Generators of the group modulo torsion |
j |
378859052564279/5748411292650 |
j-invariant |
L |
5.8492146831039 |
L(r)(E,1)/r! |
Ω |
0.56364124812369 |
Real period |
R |
0.74125350155604 |
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 |
50310cc2 83850bs2 |
Quadratic twists by: -3 5 |