Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752u |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5742806171648 = -1 · 218 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4472,5360] |
[a1,a2,a3,a4,a6] |
Generators |
[20:320:1] |
Generators of the group modulo torsion |
j |
2414193248375/1402052288 |
j-invariant |
L |
3.5278356175367 |
L(r)(E,1)/r! |
Ω |
0.45690539966736 |
Real period |
R |
1.9302877685978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b2 99008bn2 |
Quadratic twists by: -4 8 |