Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600cc |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10621255680000000 = 221 · 33 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9217633,10768452863] |
[a1,a2,a3,a4,a6] |
j |
21145699168383889/2593080 |
j-invariant |
L |
3.7765656420871 |
L(r)(E,1)/r! |
Ω |
0.31471380350731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ex5 1050a4 100800cx5 6720l4 |
Quadratic twists by: -4 8 -3 5 |