Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880dr |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26357760 |
Modular degree for the optimal curve |
Δ |
1.6712122248348E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-413192937,3226800810616] |
[a1,a2,a3,a4,a6] |
Generators |
[476007924617936:720977524226768565:207474688] |
Generators of the group modulo torsion |
j |
167214863032952734406639296/358198779328437056625 |
j-invariant |
L |
7.5552204370008 |
L(r)(E,1)/r! |
Ω |
0.069569351613506 |
Real period |
R |
18.099973194842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880dm1 36960u1 |
Quadratic twists by: -4 -3 |