Atkin-Lehner |
2- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38896j |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5940480 |
Modular degree for the optimal curve |
Δ |
-1.5679586630287E+24 |
Discriminant |
Eigenvalues |
2- 0 -3 1 11- 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171695099,868027540266] |
[a1,a2,a3,a4,a6] |
Generators |
[4877:382976:1] |
Generators of the group modulo torsion |
j |
-136658754931863917899493073/382802407965990977536 |
j-invariant |
L |
3.9600168460166 |
L(r)(E,1)/r! |
Ω |
0.084868201265758 |
Real period |
R |
1.1665196112778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4862d1 |
Quadratic twists by: -4 |