Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926w |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
2301160007468492352 = 26 · 36 · 73 · 136 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-371066,-47384980] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:3775:1] |
Generators of the group modulo torsion |
j |
5650352179653066873625/2301160007468492352 |
j-invariant |
L |
4.6091907781553 |
L(r)(E,1)/r! |
Ω |
0.2004436887289 |
Real period |
R |
1.2774967172366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
50778by3 118482e3 |
Quadratic twists by: -3 -7 |