Atkin-Lehner |
17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17051a |
Isogeny class |
Conductor |
17051 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-24209981707 = -1 · 177 · 59 |
Discriminant |
Eigenvalues |
0 -2 2 -2 5 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,193,7479] |
[a1,a2,a3,a4,a6] |
Generators |
[79:722:1] |
Generators of the group modulo torsion |
j |
32768/1003 |
j-invariant |
L |
3.0746950939966 |
L(r)(E,1)/r! |
Ω |
0.90206322890465 |
Real period |
R |
1.7042569719476 |
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 |
1003a1 |
Quadratic twists by: 17 |