Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296t |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
308834353152 = 214 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,38608] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:288:1] |
Generators of the group modulo torsion |
j |
137842000/25857 |
j-invariant |
L |
6.5749866700319 |
L(r)(E,1)/r! |
Ω |
0.92037078739351 |
Real period |
R |
1.7859613586699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cu1 15912a1 42432be1 |
Quadratic twists by: -4 8 -3 |