Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104u |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-191646505250816 = -1 · 212 · 74 · 117 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9357,754789] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-847:1] [-101:812:1] |
Generators of the group modulo torsion |
j |
-12487168/26411 |
j-invariant |
L |
5.7545484881077 |
L(r)(E,1)/r! |
Ω |
0.50375633857263 |
Real period |
R |
0.35697742436931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27104j1 54208cs1 2464a1 |
Quadratic twists by: -4 8 -11 |