Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885a |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
1033538667071625 = 32 · 53 · 114 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-753897173,7967079728808] |
[a1,a2,a3,a4,a6] |
Generators |
[612105042094:-308560223057:38614472] |
Generators of the group modulo torsion |
j |
9817478153357586761106721/214124625 |
j-invariant |
L |
4.2731726332899 |
L(r)(E,1)/r! |
Ω |
0.17592076271081 |
Real period |
R |
12.145162877433 |
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 |
83655bf1 2145e1 |
Quadratic twists by: -3 13 |