Atkin-Lehner |
3- 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100485ba |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
2.7266207323975E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1668182,-789916386] |
[a1,a2,a3,a4,a6] |
Generators |
[-828:5226:1] |
Generators of the group modulo torsion |
j |
704248988734013021209/37402204833984375 |
j-invariant |
L |
4.5005918905081 |
L(r)(E,1)/r! |
Ω |
0.13328204560648 |
Real period |
R |
0.46899205470567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495f2 |
Quadratic twists by: -3 |