Atkin-Lehner |
2+ 3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16302l |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-11353560575223438 = -1 · 2 · 33 · 119 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-602126,-179960074] |
[a1,a2,a3,a4,a6] |
Generators |
[113148:38002705:1] |
Generators of the group modulo torsion |
j |
-24142643256282491265625/11353560575223438 |
j-invariant |
L |
4.3028965763472 |
L(r)(E,1)/r! |
Ω |
0.085691066842751 |
Real period |
R |
5.5793402650883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48906bl1 |
Quadratic twists by: -3 |