Atkin-Lehner |
2- 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306s |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-17918889243504522 = -1 · 2 · 3 · 73 · 132 · 616 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50498,-7786002] |
[a1,a2,a3,a4,a6] |
j |
-14241206493468942625/17918889243504522 |
j-invariant |
L |
5.4730658368269 |
L(r)(E,1)/r! |
Ω |
0.15202960657859 |
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 |
99918n4 |
Quadratic twists by: -3 |