Atkin-Lehner |
2+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18224d |
Isogeny class |
Conductor |
18224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2368 |
Modular degree for the optimal curve |
Δ |
-2332672 = -1 · 211 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 2 2 1 2 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,272] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
-20436626/1139 |
j-invariant |
L |
8.3425609516477 |
L(r)(E,1)/r! |
Ω |
2.5542057681842 |
Real period |
R |
0.81655137729747 |
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 |
9112a1 72896s1 |
Quadratic twists by: -4 8 |