Atkin-Lehner |
3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17019f |
Isogeny class |
Conductor |
17019 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-3461511429 = -1 · 310 · 312 · 61 |
Discriminant |
Eigenvalues |
-1 3- 3 1 3 -5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,319,-1866] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] |
Generators of the group modulo torsion |
j |
4939055927/4748301 |
j-invariant |
L |
3.989278847765 |
L(r)(E,1)/r! |
Ω |
0.76847187200426 |
Real period |
R |
1.2977959874317 |
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 |
5673c1 |
Quadratic twists by: -3 |