Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885s |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
403786706895 = 32 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49436,4226481] |
[a1,a2,a3,a4,a6] |
Generators |
[40:1501:1] |
Generators of the group modulo torsion |
j |
2768178670921/83655 |
j-invariant |
L |
3.1724368389086 |
L(r)(E,1)/r! |
Ω |
0.88231845749401 |
Real period |
R |
1.7977844688408 |
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 |
83655u2 2145f2 |
Quadratic twists by: -3 13 |