Atkin-Lehner |
2- 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306s |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-27156361108968 = -1 · 23 · 33 · 7 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5272,203304] |
[a1,a2,a3,a4,a6] |
j |
16204840781141375/27156361108968 |
j-invariant |
L |
5.4730658368269 |
L(r)(E,1)/r! |
Ω |
0.45608881973578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
99918n2 |
Quadratic twists by: -3 |