Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560ci |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-41076390297600 = -1 · 216 · 36 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8584,34416] |
[a1,a2,a3,a4,a6] |
Generators |
[28:544:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
3.4009293036605 |
L(r)(E,1)/r! |
Ω |
0.39100925724186 |
Real period |
R |
0.72481858180083 |
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 |
3570k1 114240jy1 85680et1 |
Quadratic twists by: -4 8 -3 |