Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136m |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-737123641196544 = -1 · 217 · 39 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 -5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22437,-181494] |
[a1,a2,a3,a4,a6] |
j |
15494117157/9143008 |
j-invariant |
L |
1.1880116332275 |
L(r)(E,1)/r! |
Ω |
0.29700290830688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2142m1 68544ct1 17136p1 119952cy1 |
Quadratic twists by: -4 8 -3 -7 |