Atkin-Lehner |
3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813b |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22418019 = 33 · 132 · 173 |
Discriminant |
Eigenvalues |
1 3+ -2 0 -6 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-258,1645] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:53:1] |
Generators of the group modulo torsion |
j |
14348907/169 |
j-invariant |
L |
3.9730335507692 |
L(r)(E,1)/r! |
Ω |
2.1511744714238 |
Real period |
R |
0.92345683800786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33813c2 33813a2 |
Quadratic twists by: -3 17 |