Atkin-Lehner |
2- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5776q |
Isogeny class |
Conductor |
5776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-3661298642944 = -1 · 212 · 197 |
Discriminant |
Eigenvalues |
2- -2 3 1 -3 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3851,-2781] |
[a1,a2,a3,a4,a6] |
Generators |
[10:361:8] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
3.4405788329016 |
L(r)(E,1)/r! |
Ω |
0.46792541571879 |
Real period |
R |
1.8382089951325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
361b1 23104bz1 51984cw1 304e1 |
Quadratic twists by: -4 8 -3 -19 |