Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ck |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-5034527948800 = -1 · 222 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -5 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130368,-18161612] |
[a1,a2,a3,a4,a6] |
Generators |
[44576724:734317786:79507] |
Generators of the group modulo torsion |
j |
-2392985657939305/49165312 |
j-invariant |
L |
3.3855784176134 |
L(r)(E,1)/r! |
Ω |
0.12562497701309 |
Real period |
R |
13.474941441288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650v1 53200df1 |
Quadratic twists by: -4 5 |