Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bk |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-120835000000000000 = -1 · 212 · 513 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17200,16702000] |
[a1,a2,a3,a4,a6] |
Generators |
[336705:195377425:1] |
Generators of the group modulo torsion |
j |
8792838144/1888046875 |
j-invariant |
L |
5.691538762817 |
L(r)(E,1)/r! |
Ω |
0.25596047643979 |
Real period |
R |
11.118003142485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3575c1 11440t1 |
Quadratic twists by: -4 5 |