Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560x |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3262694400 = 210 · 32 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-960,-10800] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:18:1] |
Generators of the group modulo torsion |
j |
95651055364/3186225 |
j-invariant |
L |
5.3508863028736 |
L(r)(E,1)/r! |
Ω |
0.85937153470519 |
Real period |
R |
1.5566277467839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280w2 114240jb2 85680bm2 |
Quadratic twists by: -4 8 -3 |