Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
110894o |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8330400 |
Modular degree for the optimal curve |
Δ |
-1.058595968919E+21 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -1 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47365105,-125466758639] |
[a1,a2,a3,a4,a6] |
Generators |
[1019519592802501217136627242638347541538132003:54304817969895354890521030379378219226905286624:108772337185256853068619526085337425307847] |
Generators of the group modulo torsion |
j |
-2985239390625/268912 |
j-invariant |
L |
8.2837931801904 |
L(r)(E,1)/r! |
Ω |
0.028774155513686 |
Real period |
R |
71.972513461345 |
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 |
110894q1 |
Quadratic twists by: 89 |