Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813o |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1507702727653083 = 37 · 134 · 176 |
Discriminant |
Eigenvalues |
-1 3- 2 4 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50774,-3974974] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:709:1] |
Generators of the group modulo torsion |
j |
822656953/85683 |
j-invariant |
L |
5.2549609275628 |
L(r)(E,1)/r! |
Ω |
0.32018645240658 |
Real period |
R |
2.051523763758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11271f4 117a3 |
Quadratic twists by: -3 17 |