Atkin-Lehner |
2+ 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
68150i |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
187807006720000 = 218 · 54 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34576,-2388002] |
[a1,a2,a3,a4,a6] |
Generators |
[-962619:3185671:9261] |
Generators of the group modulo torsion |
j |
7313914640415625/300491210752 |
j-invariant |
L |
5.3382756835592 |
L(r)(E,1)/r! |
Ω |
0.35099985061815 |
Real period |
R |
7.6043845518983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68150m2 |
Quadratic twists by: 5 |