Atkin-Lehner |
3- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201d |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1750721931 = 37 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -6 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2489,-47122] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:19:1] |
Generators of the group modulo torsion |
j |
2338337977417/2401539 |
j-invariant |
L |
3.245821273867 |
L(r)(E,1)/r! |
Ω |
0.67597983755879 |
Real period |
R |
2.4008269873764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067g2 |
Quadratic twists by: -3 |