Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8820d |
Isogeny class |
Conductor |
8820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-127084807452960000 = -1 · 28 · 39 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27783,17243982] |
[a1,a2,a3,a4,a6] |
Generators |
[12098:468775:8] |
Generators of the group modulo torsion |
j |
-11664/625 |
j-invariant |
L |
3.9311096576352 |
L(r)(E,1)/r! |
Ω |
0.2731152247319 |
Real period |
R |
7.1967969956529 |
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 |
35280dc2 8820g2 44100r2 8820h2 |
Quadratic twists by: -4 -3 5 -7 |