Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17444c |
Isogeny class |
Conductor |
17444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-6435916073216 = -1 · 28 · 710 · 89 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -4 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1519,124166] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:9604:27] |
Generators of the group modulo torsion |
j |
-12869712/213689 |
j-invariant |
L |
6.7981580078134 |
L(r)(E,1)/r! |
Ω |
0.63467273465128 |
Real period |
R |
2.6778202515461 |
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 |
69776x1 2492b1 |
Quadratic twists by: -4 -7 |