Atkin-Lehner |
2- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58480j |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-235366187008000 = -1 · 219 · 53 · 174 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 3 2 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43400,3571952] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1734:1] |
Generators of the group modulo torsion |
j |
-2207206464510601/57462448000 |
j-invariant |
L |
11.438636412435 |
L(r)(E,1)/r! |
Ω |
0.55586073624681 |
Real period |
R |
1.7148534495755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310h1 |
Quadratic twists by: -4 |