Atkin-Lehner |
2- 3+ 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306o |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.4114447013213E+26 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-131123131,-85302655159] |
[a1,a2,a3,a4,a6] |
j |
249322598783958825403695467569/141144470132129594883637248 |
j-invariant |
L |
6.1593846036186 |
L(r)(E,1)/r! |
Ω |
0.048120192215812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99918l2 |
Quadratic twists by: -3 |