Atkin-Lehner |
5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
27775d |
Isogeny class |
Conductor |
27775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2410783203125 = 59 · 112 · 1012 |
Discriminant |
Eigenvalues |
-1 2 5+ 4 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16088,775156] |
[a1,a2,a3,a4,a6] |
Generators |
[296:4548:1] |
Generators of the group modulo torsion |
j |
29472131485369/154290125 |
j-invariant |
L |
5.5014045285397 |
L(r)(E,1)/r! |
Ω |
0.8204067026378 |
Real period |
R |
3.3528520128196 |
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 |
5555a2 |
Quadratic twists by: 5 |