Atkin-Lehner |
2- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
47120l |
Isogeny class |
Conductor |
47120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46743040000 = 212 · 54 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1363,16338] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:186:1] |
Generators of the group modulo torsion |
j |
68367756969/11411875 |
j-invariant |
L |
3.1860241969651 |
L(r)(E,1)/r! |
Ω |
1.082351310395 |
Real period |
R |
1.4718068737753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2945a2 |
Quadratic twists by: -4 |