Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104f |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-2938507264 = -1 · 212 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ -2 -1 7+ 11- -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,2671] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:28:1] [7:-44:1] |
Generators of the group modulo torsion |
j |
-7744/49 |
j-invariant |
L |
5.3181922673275 |
L(r)(E,1)/r! |
Ω |
1.2305830435629 |
Real period |
R |
0.18007020788322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27104w1 54208n1 27104y1 |
Quadratic twists by: -4 8 -11 |