Atkin-Lehner |
2- 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926bb |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-28981645056 = -1 · 28 · 32 · 74 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,721,3701] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:40:1] |
Generators of the group modulo torsion |
j |
41446881446543/28981645056 |
j-invariant |
L |
5.4737239748978 |
L(r)(E,1)/r! |
Ω |
0.74646363988588 |
Real period |
R |
0.91660927646365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50778i1 118482da1 |
Quadratic twists by: -3 -7 |