Atkin-Lehner |
3- 5+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265l |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1441792 |
Modular degree for the optimal curve |
Δ |
-553692118043061855 = -1 · 310 · 5 · 112 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,88897,-34338634] |
[a1,a2,a3,a4,a6] |
Generators |
[678:18025:1] |
Generators of the group modulo torsion |
j |
106576653470627159/759522795669495 |
j-invariant |
L |
2.6238581200691 |
L(r)(E,1)/r! |
Ω |
0.14523931677127 |
Real period |
R |
4.516439169816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999985905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755s1 |
Quadratic twists by: -3 |