Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665l |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-34894105155 = -1 · 33 · 5 · 76 · 133 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,588,7117] |
[a1,a2,a3,a4,a6] |
Generators |
[25:193:1] |
Generators of the group modulo torsion |
j |
7077888/10985 |
j-invariant |
L |
5.1884497247171 |
L(r)(E,1)/r! |
Ω |
0.79055186482676 |
Real period |
R |
3.281536579421 |
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 |
28665c2 585b1 |
Quadratic twists by: -3 -7 |