Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288h |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16796325888 = -1 · 211 · 34 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,592,-3060] |
[a1,a2,a3,a4,a6] |
Generators |
[9:54:1] [149:1836:1] |
Generators of the group modulo torsion |
j |
11184718750/8201331 |
j-invariant |
L |
7.3037784380746 |
L(r)(E,1)/r! |
Ω |
0.69249726866295 |
Real period |
R |
10.547014072961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576i2 99864c2 |
Quadratic twists by: -4 -3 |