Atkin-Lehner |
2- 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058bc |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
6209280 |
Modular degree for the optimal curve |
Δ |
-2.3643055971323E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 4 3 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5561130,-5102077752] |
[a1,a2,a3,a4,a6] |
Generators |
[3428:125252:1] |
Generators of the group modulo torsion |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
17.567441554811 |
L(r)(E,1)/r! |
Ω |
0.049119892113735 |
Real period |
R |
8.1282758884768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002b1 |
Quadratic twists by: 29 |