Atkin-Lehner |
2- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592h |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3015903123703808 = 211 · 132 · 176 · 192 |
Discriminant |
Eigenvalues |
2- 2 0 4 2 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2604688,1618878156] |
[a1,a2,a3,a4,a6] |
Generators |
[61097289:1647529786:35937] |
Generators of the group modulo torsion |
j |
954247551338525449250/1472608947121 |
j-invariant |
L |
9.6336163599256 |
L(r)(E,1)/r! |
Ω |
0.38375135636756 |
Real period |
R |
12.551898775177 |
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 |
67184b2 |
Quadratic twists by: -4 |