Atkin-Lehner |
5+ 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16555c |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
1649684278165 = 5 · 78 · 113 · 43 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- 11+ 3 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3246,-36434] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:171:1] |
Generators of the group modulo torsion |
j |
3783581083316224/1649684278165 |
j-invariant |
L |
2.6196729316614 |
L(r)(E,1)/r! |
Ω |
0.65820900700917 |
Real period |
R |
0.49750020581701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775c1 115885l1 |
Quadratic twists by: 5 -7 |