Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bo |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-227216339782533120 = -1 · 216 · 3 · 5 · 173 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121760,28207872] |
[a1,a2,a3,a4,a6] |
Generators |
[-900731:6608252:2197] |
Generators of the group modulo torsion |
j |
-48739520159483041/55472739204720 |
j-invariant |
L |
6.6158495362481 |
L(r)(E,1)/r! |
Ω |
0.28489429572818 |
Real period |
R |
11.611060020686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690y3 |
Quadratic twists by: -4 |