Atkin-Lehner |
2- 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dh |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-1459568625468750 = -1 · 2 · 32 · 57 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27562,-523758] |
[a1,a2,a3,a4,a6] |
Generators |
[2246:42227:8] |
Generators of the group modulo torsion |
j |
148195455667559/93412392030 |
j-invariant |
L |
13.033491626223 |
L(r)(E,1)/r! |
Ω |
0.27508973896699 |
Real period |
R |
0.98706362686425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930e1 |
Quadratic twists by: 5 |