Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8540b |
Isogeny class |
Conductor |
8540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-366152500000000 = -1 · 28 · 510 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 -6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50716,-4474584] |
[a1,a2,a3,a4,a6] |
Generators |
[28795479292279043974110:-48656554808433493611907:109791456241303719000] |
Generators of the group modulo torsion |
j |
-56354329839423184/1430283203125 |
j-invariant |
L |
5.5257244941845 |
L(r)(E,1)/r! |
Ω |
0.15882966658954 |
Real period |
R |
34.790254319834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34160x2 76860k2 42700m2 59780m2 |
Quadratic twists by: -4 -3 5 -7 |