Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
104442bo |
Isogeny class |
Conductor |
104442 |
Conductor |
∏ cp |
286 |
Product of Tamagawa factors cp |
deg |
864864 |
Modular degree for the optimal curve |
Δ |
-328390834397184 = -1 · 213 · 311 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -6 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86811,9876177] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-2139:1] |
Generators of the group modulo torsion |
j |
-32932010476859437/149472387072 |
j-invariant |
L |
9.6326652645015 |
L(r)(E,1)/r! |
Ω |
0.54460597518248 |
Real period |
R |
0.061844065796234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104442v1 |
Quadratic twists by: 13 |