Atkin-Lehner |
2+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51136a |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
10080556679168 = 228 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ -2 0 4 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50753,-4415201] |
[a1,a2,a3,a4,a6] |
Generators |
[-43925:7876:343] |
Generators of the group modulo torsion |
j |
55154061924625/38454272 |
j-invariant |
L |
4.4562377591456 |
L(r)(E,1)/r! |
Ω |
0.31809115116372 |
Real period |
R |
7.0046553368222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136i1 1598a1 |
Quadratic twists by: -4 8 |