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 |
2.2278793898372E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-644819650,-6261614367500] |
[a1,a2,a3,a4,a6] |
Generators |
[-11401312969988556322087201:-60910141135144671845240953:734766706242031127309] |
Generators of the group modulo torsion |
j |
1897660325010178513043539489/14258428094958372000000 |
j-invariant |
L |
3.9475117964484 |
L(r)(E,1)/r! |
Ω |
0.029973448750893 |
Real period |
R |
32.925071696419 |
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 |
99450cr3 6630w3 |
Quadratic twists by: -3 5 |