Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200ex |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-586805575680000000 = -1 · 221 · 36 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80925,-35774750] |
[a1,a2,a3,a4,a6] |
Generators |
[92295:803200:343] |
Generators of the group modulo torsion |
j |
1256216039/12577280 |
j-invariant |
L |
6.4383630421377 |
L(r)(E,1)/r! |
Ω |
0.14326191987043 |
Real period |
R |
5.6176503915812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650q2 6800s2 12240bt2 |
Quadratic twists by: -4 -3 5 |