Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112bg |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2195430671601303552 = 216 · 35 · 1310 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56079664,-161661424300] |
[a1,a2,a3,a4,a6] |
Generators |
[-4324510:104307:1000] |
Generators of the group modulo torsion |
j |
986551739719628473/111045168 |
j-invariant |
L |
4.8858898220498 |
L(r)(E,1)/r! |
Ω |
0.055169393072635 |
Real period |
R |
8.8561601821814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014e4 32448cg4 24336bs4 624i3 |
Quadratic twists by: -4 8 -3 13 |