Atkin-Lehner |
3+ 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811i |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.8247291682718E+27 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-677011813,-6460981454418] |
[a1,a2,a3,a4,a6] |
Generators |
[-2342588311890913375070314481729041961131554229158942:18604349778388228050257950735849699923157115050383415:190153556238165245329363314833538702475147289384] |
Generators of the group modulo torsion |
j |
700351999122815144622555136000/37239370781057516570832237 |
j-invariant |
L |
4.7882988173135 |
L(r)(E,1)/r! |
Ω |
0.029695126991369 |
Real period |
R |
80.624319584578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811o2 |
Quadratic twists by: -7 |