Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840z |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1336077861501081600 = -1 · 211 · 35 · 52 · 112 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-535800,-161053452] |
[a1,a2,a3,a4,a6] |
Generators |
[906:9900:1] |
Generators of the group modulo torsion |
j |
-8306206008866204402/652381768311075 |
j-invariant |
L |
9.3514676162565 |
L(r)(E,1)/r! |
Ω |
0.087834870859728 |
Real period |
R |
2.6616614574771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920n2 |
Quadratic twists by: -4 |