Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610r |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
21197191823010 = 2 · 37 · 5 · 73 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40007555,97397153487] |
[a1,a2,a3,a4,a6] |
j |
7081899276883820886652140721/21197191823010 |
j-invariant |
L |
4.4731174673915 |
L(r)(E,1)/r! |
Ω |
0.31950839052797 |
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 |
68880bu4 25830k4 43050f4 60270u4 |
Quadratic twists by: -4 -3 5 -7 |