Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084h |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
6877734864 = 24 · 3 · 72 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1017,12174] |
[a1,a2,a3,a4,a6] |
Generators |
[14:22:1] |
Generators of the group modulo torsion |
j |
148524285952/8772621 |
j-invariant |
L |
3.9223797574273 |
L(r)(E,1)/r! |
Ω |
1.3086703274034 |
Real period |
R |
2.9972252579181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84084q2 |
Quadratic twists by: -7 |