Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27885c |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-46124866133775 = -1 · 35 · 52 · 112 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8024,177224] |
[a1,a2,a3,a4,a6] |
Generators |
[31:660:1] |
Generators of the group modulo torsion |
j |
11836763639/9555975 |
j-invariant |
L |
2.5672704155707 |
L(r)(E,1)/r! |
Ω |
0.41154090314357 |
Real period |
R |
1.5595475419093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83655bb1 2145c1 |
Quadratic twists by: -3 13 |