Atkin-Lehner |
3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16695b |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-9.5191248827766E+18 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 6 4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-367083,171356563] |
[a1,a2,a3,a4,a6] |
j |
-202606215767493783552/352560180843579625 |
j-invariant |
L |
5.7635369290698 |
L(r)(E,1)/r! |
Ω |
0.20584060460964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16695e1 83475h1 116865l1 |
Quadratic twists by: -3 5 -7 |