Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288j |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8398162944 = 210 · 34 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-624,4284] |
[a1,a2,a3,a4,a6] |
Generators |
[30:108:1] |
Generators of the group modulo torsion |
j |
26282902468/8201331 |
j-invariant |
L |
3.4513259176374 |
L(r)(E,1)/r! |
Ω |
1.2103442388551 |
Real period |
R |
1.4257621124804 |
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 |
66576f2 99864f2 |
Quadratic twists by: -4 -3 |