Atkin-Lehner |
2+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7480b |
Isogeny class |
Conductor |
7480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
559504000000 = 210 · 56 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5707,-161994] |
[a1,a2,a3,a4,a6] |
j |
20074621850244/546390625 |
j-invariant |
L |
1.6505953766019 |
L(r)(E,1)/r! |
Ω |
0.5501984588673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14960b2 59840e2 67320bg2 37400n2 |
Quadratic twists by: -4 8 -3 5 |