Atkin-Lehner |
2- 3+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424i |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7103526469632 = -1 · 218 · 32 · 29 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400488,97684848] |
[a1,a2,a3,a4,a6] |
Generators |
[189:5358:1] [356:320:1] |
Generators of the group modulo torsion |
j |
-1734336529554219625/1734259392 |
j-invariant |
L |
8.8519288786448 |
L(r)(E,1)/r! |
Ω |
0.62593803017207 |
Real period |
R |
0.58924422572761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8178h2 |
Quadratic twists by: -4 |