Atkin-Lehner |
2- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99946h |
Isogeny class |
Conductor |
99946 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-1147234558624 = -1 · 25 · 73 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16519,811933] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:794:1] |
Generators of the group modulo torsion |
j |
-281397674377/647584 |
j-invariant |
L |
18.605564869931 |
L(r)(E,1)/r! |
Ω |
0.87008876629256 |
Real period |
R |
2.1383524962024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
826b1 |
Quadratic twists by: -11 |