Atkin-Lehner |
2+ 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570r |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
786929415468750000 = 24 · 310 · 510 · 19 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1142694,468501700] |
[a1,a2,a3,a4,a6] |
Generators |
[491:-5308:1] |
Generators of the group modulo torsion |
j |
226352991550797645409/1079464218750000 |
j-invariant |
L |
6.6604508693295 |
L(r)(E,1)/r! |
Ω |
0.28476839640472 |
Real period |
R |
0.58472524964326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190v2 |
Quadratic twists by: -3 |