Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150b |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.1287042573094E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10279763150,-403794192765000] |
[a1,a2,a3,a4,a6] |
Generators |
[1334193564753511966010004655606553690712550804678864114967620573200489034949393233745567115:-1224722318180924469090768741462624897042367703827786632854348130186334367896284394898733135120:1561741487265475938442277647387623736522086212114585448602736284410247259296284733671] |
Generators of the group modulo torsion |
j |
-7688701694683937879808871873249/58423707246780395507812500 |
j-invariant |
L |
3.9475117964484 |
L(r)(E,1)/r! |
Ω |
0.0074933621877233 |
Real period |
R |
131.70028678568 |
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 |
99450cr7 6630w8 |
Quadratic twists by: -3 5 |