Atkin-Lehner |
2- 3- 7- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bu |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
20457557169831936 = 215 · 36 · 73 · 11 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8096846,8869944413] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:30547:1] |
Generators of the group modulo torsion |
j |
80527417407206305166233/28062492688384 |
j-invariant |
L |
13.861202387616 |
L(r)(E,1)/r! |
Ω |
0.31020396457854 |
Real period |
R |
2.9789437421752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000103 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9394d2 |
Quadratic twists by: -3 |