Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
97020co |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
97674088217040720 = 24 · 36 · 5 · 712 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86473632,-309509271799] |
[a1,a2,a3,a4,a6] |
Generators |
[-101853993343663958320:266741251232257991:18970928522481664] |
Generators of the group modulo torsion |
j |
52112158467655991296/71177645 |
j-invariant |
L |
8.1051186069149 |
L(r)(E,1)/r! |
Ω |
0.049508370190686 |
Real period |
R |
27.285347832892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10780h3 13860o3 |
Quadratic twists by: -3 -7 |