Atkin-Lehner |
2- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33350o |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
Δ |
57809797120000000 = 221 · 57 · 233 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-377813,-88790469] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:762:1] [-345:972:1] |
Generators of the group modulo torsion |
j |
381710801681656201/3699827015680 |
j-invariant |
L |
9.8395892966984 |
L(r)(E,1)/r! |
Ω |
0.19267903338326 |
Real period |
R |
0.20264783659645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670c2 |
Quadratic twists by: 5 |