Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665d |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36877287876975 = 39 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92693,10881406] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:4412:1] [-152:4706:1] |
Generators of the group modulo torsion |
j |
38034753147/15925 |
j-invariant |
L |
4.9852604568861 |
L(r)(E,1)/r! |
Ω |
0.6395391101739 |
Real period |
R |
1.9487707544308 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28665m2 4095f2 |
Quadratic twists by: -3 -7 |