Atkin-Lehner |
3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89661p |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-2213911597706454789 = -1 · 311 · 116 · 135 · 19 |
Discriminant |
Eigenvalues |
-1 3- 3 -5 11- 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-632409,206333766] |
[a1,a2,a3,a4,a6] |
Generators |
[615:6771:1] |
Generators of the group modulo torsion |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
5.5837683876169 |
L(r)(E,1)/r! |
Ω |
0.25482481862509 |
Real period |
R |
0.19920167535491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
741c1 |
Quadratic twists by: -11 |