Atkin-Lehner |
7+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5117c |
Isogeny class |
Conductor |
5117 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49728 |
Modular degree for the optimal curve |
Δ |
-495781066252619 = -1 · 714 · 17 · 43 |
Discriminant |
Eigenvalues |
1 3 3 7+ -2 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31288,-2376577] |
[a1,a2,a3,a4,a6] |
j |
-3387387875659176537/495781066252619 |
j-invariant |
L |
5.6973333684421 |
L(r)(E,1)/r! |
Ω |
0.17804166776381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872bb1 46053g1 127925f1 35819k1 |
Quadratic twists by: -4 -3 5 -7 |