Atkin-Lehner |
2+ 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290d |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1409757440 = -1 · 28 · 5 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -6 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,32,-1792] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1:1] [16:48:1] |
Generators of the group modulo torsion |
j |
3449795831/1409757440 |
j-invariant |
L |
4.2355014349548 |
L(r)(E,1)/r! |
Ω |
0.71107327650358 |
Real period |
R |
0.49637423395861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bf1 121030w1 |
Quadratic twists by: 5 -7 |