Atkin-Lehner |
2- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19880g |
Isogeny class |
Conductor |
19880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2226560000 = 210 · 54 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1456,21756] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:84:1] |
Generators of the group modulo torsion |
j |
333584701636/2174375 |
j-invariant |
L |
6.3456415450439 |
L(r)(E,1)/r! |
Ω |
1.4687076135267 |
Real period |
R |
2.1602807415856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39760d2 99400e2 |
Quadratic twists by: -4 5 |