Atkin-Lehner |
5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32725k |
Isogeny class |
Conductor |
32725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3847680 |
Modular degree for the optimal curve |
Δ |
18471728515625 = 511 · 7 · 11 · 173 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-615724292,-5880526043509] |
[a1,a2,a3,a4,a6] |
Generators |
[3205394845362892309777485160104852265625976035570437937265291115662230844996021776687430423152006675034821494650868774:-385237930115868792621017516117091554300532476238909173177999719179019424728937159478089807433522484664939501960847290483:89087501555097783004760772813358980416641167360562375646666597487680382449812121147636421013111782665276968407863] |
Generators of the group modulo torsion |
j |
1652199744232172318791544721/1182190625 |
j-invariant |
L |
5.5829893886641 |
L(r)(E,1)/r! |
Ω |
0.030307700201823 |
Real period |
R |
184.2102617977 |
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 |
6545f1 |
Quadratic twists by: 5 |