Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136x |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1842041585664 = -1 · 218 · 310 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -2 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3099,93130] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:320:1] |
Generators of the group modulo torsion |
j |
-1102302937/616896 |
j-invariant |
L |
5.627560273098 |
L(r)(E,1)/r! |
Ω |
0.7747940827844 |
Real period |
R |
1.81582448748 |
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 |
2142r1 68544do1 5712s1 119952gq1 |
Quadratic twists by: -4 8 -3 -7 |