Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16695l |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-20702284155 = -1 · 313 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 2 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-993,-13892] |
[a1,a2,a3,a4,a6] |
Generators |
[94:850:1] |
Generators of the group modulo torsion |
j |
-148540174336/28398195 |
j-invariant |
L |
2.4605778177567 |
L(r)(E,1)/r! |
Ω |
0.42088444561242 |
Real period |
R |
0.73077594200954 |
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 |
5565e1 83475w1 116865be1 |
Quadratic twists by: -3 5 -7 |