Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190ca |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-9.7170007667446E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5260175,-6639619183] |
[a1,a2,a3,a4,a6] |
Generators |
[1094310091559785877289301377005:305719644279230821480171492146916:13958875197157366057006027] |
Generators of the group modulo torsion |
j |
-9085904860560159241/5484993611139900 |
j-invariant |
L |
9.1469168169374 |
L(r)(E,1)/r! |
Ω |
0.048507562469039 |
Real period |
R |
47.141705083489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290g1 |
Quadratic twists by: -11 |