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 |
1612754622070312500 = 22 · 32 · 512 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164775000150,-25744606186158000] |
[a1,a2,a3,a4,a6] |
Generators |
[36446215198773133083587840522050637177290971468488333913334917089010934063832591879065:-30079360670445951849680343025578322402540435571952471457347895400599279471849343671560520:40666772110512574714226820191906636394696680994980828656100954283580680681513797] |
Generators of the group modulo torsion |
j |
31664865542564944883878115208137569/103216295812500 |
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 |
99450cr8 6630w7 |
Quadratic twists by: -3 5 |