Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740v |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
58606007040 = 28 · 32 · 5 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2768620,-1774063660] |
[a1,a2,a3,a4,a6] |
Generators |
[2063:36036:1] |
Generators of the group modulo torsion |
j |
9167986374707615878096/228929715 |
j-invariant |
L |
6.8384807488335 |
L(r)(E,1)/r! |
Ω |
0.11703983575151 |
Real period |
R |
6.4920733136371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960by4 59220o4 98700c4 |
Quadratic twists by: -4 -3 5 |