Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150b |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.8964094165649E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10298437650,-402262678345500] |
[a1,a2,a3,a4,a6] |
Generators |
[1011973902652309539880444677790116450646144445:-928932332519284776637025649998694565558122095660:1184561296568848546912841272716196185949] |
Generators of the group modulo torsion |
j |
7730680381889320597382223137569/441370202660156250000 |
j-invariant |
L |
3.9475117964484 |
L(r)(E,1)/r! |
Ω |
0.014986724375447 |
Real period |
R |
65.850143392838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99450cr6 6630w6 |
Quadratic twists by: -3 5 |