Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820a |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
348720711650922240 = 28 · 39 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186543,12428262] |
[a1,a2,a3,a4,a6] |
Generators |
[-958:45991:8] |
Generators of the group modulo torsion |
j |
1210991472/588245 |
j-invariant |
L |
4.1135990218566 |
L(r)(E,1)/r! |
Ω |
0.2695969194876 |
Real period |
R |
7.6291654772519 |
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 |
35280cw4 8820e2 44100g4 1260d4 |
Quadratic twists by: -4 -3 5 -7 |