Atkin-Lehner |
2- 3- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010by |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
1064 |
Product of Tamagawa factors cp |
deg |
14708736 |
Modular degree for the optimal curve |
Δ |
1.3934654172168E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19205897,26967386121] |
[a1,a2,a3,a4,a6] |
Generators |
[3911:106044:1] |
Generators of the group modulo torsion |
j |
1074731427862789733611849/191147519508480000000 |
j-invariant |
L |
12.69499687629 |
L(r)(E,1)/r! |
Ω |
0.09856677759401 |
Real period |
R |
0.48419511484106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670a1 |
Quadratic twists by: -3 |