Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cg |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
157117192888320 = 213 · 38 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13776,-149184] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:486:1] [-11:30:1] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
6.405274709029 |
L(r)(E,1)/r! |
Ω |
0.47003450561458 |
Real period |
R |
6.8136218006531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570w4 114240js3 85680fj3 |
Quadratic twists by: -4 8 -3 |