Atkin-Lehner |
2- 3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624l |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19776 |
Modular degree for the optimal curve |
Δ |
-103416576 = -1 · 28 · 3 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 3 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,-687] |
[a1,a2,a3,a4,a6] |
j |
-850518016/403971 |
j-invariant |
L |
2.790282840404 |
L(r)(E,1)/r! |
Ω |
0.69757071369756 |
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 |
18156b1 |
Quadratic twists by: -4 |