Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665m |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
18789133545 = 33 · 5 · 77 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-4005] |
[a1,a2,a3,a4,a6] |
Generators |
[422:2337:8] |
Generators of the group modulo torsion |
j |
14348907/5915 |
j-invariant |
L |
7.0915852839678 |
L(r)(E,1)/r! |
Ω |
0.94785023546152 |
Real period |
R |
1.8704392895241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28665d1 4095c1 |
Quadratic twists by: -3 -7 |