Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gd |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
228802560000 = 217 · 3 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476705,-126843297] |
[a1,a2,a3,a4,a6] |
Generators |
[-245882577849:-861148500:616295051] |
Generators of the group modulo torsion |
j |
91403708841493778/1745625 |
j-invariant |
L |
9.8061716290781 |
L(r)(E,1)/r! |
Ω |
0.18169252168687 |
Real period |
R |
13.492811267402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680bn4 31920a4 |
Quadratic twists by: -4 8 |