Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714k |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
3867796948868834058 = 2 · 35 · 75 · 118 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43549408,-110620492234] |
[a1,a2,a3,a4,a6] |
j |
9134199227099641402801626625/3867796948868834058 |
j-invariant |
L |
5.8769771443141 |
L(r)(E,1)/r! |
Ω |
0.058769771443141 |
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 |
65142k2 |
Quadratic twists by: -3 |