Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820bb |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-37654757763840 = -1 · 28 · 36 · 5 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-355152,-81465244] |
[a1,a2,a3,a4,a6] |
Generators |
[1085:28469:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
4.5286728388015 |
L(r)(E,1)/r! |
Ω |
0.097783548795512 |
Real period |
R |
3.8594365604655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280fo2 980d2 44100ce2 1260g2 |
Quadratic twists by: -4 -3 5 -7 |