Atkin-Lehner |
3- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
17019b |
Isogeny class |
Conductor |
17019 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-41068055349 = -1 · 36 · 314 · 61 |
Discriminant |
Eigenvalues |
-1 3- 3 3 3 5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,814,3678] |
[a1,a2,a3,a4,a6] |
j |
81916141607/56334781 |
j-invariant |
L |
2.8927952818871 |
L(r)(E,1)/r! |
Ω |
0.72319882047178 |
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 |
1891a1 |
Quadratic twists by: -3 |