Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714n |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
Δ |
86872328928 = 25 · 37 · 74 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-192969217,-1031779593943] |
[a1,a2,a3,a4,a6] |
j |
794671826380578057005620685713/86872328928 |
j-invariant |
L |
5.6709469117947 |
L(r)(E,1)/r! |
Ω |
0.040506763655677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142o4 |
Quadratic twists by: -3 |