Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bi |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13540800 |
Modular degree for the optimal curve |
Δ |
-1.5465063456792E+27 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,288790908,-108146316798] |
[a1,a2,a3,a4,a6] |
Generators |
[15697277890:-3053069712598:571787] |
Generators of the group modulo torsion |
j |
633814853024541310976/367993254509587395 |
j-invariant |
L |
4.8470128460132 |
L(r)(E,1)/r! |
Ω |
0.028224320410043 |
Real period |
R |
14.310981851809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9555n1 28665z1 |
Quadratic twists by: -3 -7 |