Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bo |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13022657799480 = 23 · 39 · 5 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8048,218971] |
[a1,a2,a3,a4,a6] |
Generators |
[83:301:1] |
Generators of the group modulo torsion |
j |
2928503392443/661619560 |
j-invariant |
L |
8.6664063070609 |
L(r)(E,1)/r! |
Ω |
0.6681548244233 |
Real period |
R |
2.1617759812277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290f2 |
Quadratic twists by: -3 |