Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136f |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-16659323364096 = -1 · 28 · 313 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -1 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856092,304879948] |
[a1,a2,a3,a4,a6] |
Generators |
[809:11907:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
4.957901306691 |
L(r)(E,1)/r! |
Ω |
0.55330363769092 |
Real period |
R |
1.1200679357951 |
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 |
8568f1 68544dx1 5712i1 119952v1 |
Quadratic twists by: -4 8 -3 -7 |