Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600ci |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-6.117220902062E+20 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1283995,1315154250] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:43290:1] |
Generators of the group modulo torsion |
j |
-457239508039360773/1194769707433984 |
j-invariant |
L |
3.8908478750827 |
L(r)(E,1)/r! |
Ω |
0.1436902527448 |
Real period |
R |
6.76950557957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450bd1 83600cg1 |
Quadratic twists by: -4 5 |