Atkin-Lehner |
2- 3+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
33288k |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2799387648 = 210 · 33 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10968,445788] |
[a1,a2,a3,a4,a6] |
Generators |
[62:16:1] [97:534:1] |
Generators of the group modulo torsion |
j |
142510110470500/2733777 |
j-invariant |
L |
7.4030910521989 |
L(r)(E,1)/r! |
Ω |
1.3193302319093 |
Real period |
R |
5.6112494606339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576g2 99864g2 |
Quadratic twists by: -4 -3 |