Atkin-Lehner |
2- 3+ 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23970o |
Isogeny class |
Conductor |
23970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
62661138046875000 = 23 · 310 · 510 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563721,-162697857] |
[a1,a2,a3,a4,a6] |
j |
19811456320528148160529/62661138046875000 |
j-invariant |
L |
1.0456042269713 |
L(r)(E,1)/r! |
Ω |
0.17426737116189 |
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 |
71910s2 119850bg2 |
Quadratic twists by: -3 5 |