Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885v |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
178464 |
Modular degree for the optimal curve |
Δ |
-7947733751814285 = -1 · 311 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11+ 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28058,4652741] |
[a1,a2,a3,a4,a6] |
Generators |
[1197:40468:1] |
Generators of the group modulo torsion |
j |
-2994503161/9743085 |
j-invariant |
L |
8.9085796227596 |
L(r)(E,1)/r! |
Ω |
0.36461272073586 |
Real period |
R |
0.74039369147794 |
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 |
83655o1 27885t1 |
Quadratic twists by: -3 13 |