Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560v |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-17136000000 = -1 · 210 · 32 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-960,13392] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-50:1] |
Generators of the group modulo torsion |
j |
-95651055364/16734375 |
j-invariant |
L |
5.5391697476105 |
L(r)(E,1)/r! |
Ω |
1.1855626196865 |
Real period |
R |
0.38934888069398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280v1 114240ja1 85680bl1 |
Quadratic twists by: -4 8 -3 |