Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744i |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
860781364992 = 28 · 314 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3020,46716] |
[a1,a2,a3,a4,a6] |
Generators |
[18078:131957:216] |
Generators of the group modulo torsion |
j |
11902779103696/3362427207 |
j-invariant |
L |
3.3717197260601 |
L(r)(E,1)/r! |
Ω |
0.82796939337343 |
Real period |
R |
8.1445516055185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8436c2 101232bg2 |
Quadratic twists by: -4 -3 |