Atkin-Lehner |
2- 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21714q |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5119784614098 = 2 · 312 · 7 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5347,-104353] |
[a1,a2,a3,a4,a6] |
j |
16906719246025393/5119784614098 |
j-invariant |
L |
6.8570285010316 |
L(r)(E,1)/r! |
Ω |
0.57141904175264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65142h4 |
Quadratic twists by: -3 |