Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084h |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
3027024 = 24 · 33 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177,-846] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
786644992/3861 |
j-invariant |
L |
3.9223797574273 |
L(r)(E,1)/r! |
Ω |
1.3086703274034 |
Real period |
R |
0.99907508597269 |
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 |
84084q1 |
Quadratic twists by: -7 |