Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33201l |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4247653336476417 = 314 · 73 · 174 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-514773,-141994944] |
[a1,a2,a3,a4,a6] |
j |
20693975864241958993/5826684960873 |
j-invariant |
L |
2.1388688689854 |
L(r)(E,1)/r! |
Ω |
0.1782390724151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067j4 |
Quadratic twists by: -3 |