Atkin-Lehner |
2+ 3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926r |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
99502131456 = 28 · 39 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8097510,-8869688264] |
[a1,a2,a3,a4,a6] |
Generators |
[23957:3668661:1] |
Generators of the group modulo torsion |
j |
58718927428182756783403993/99502131456 |
j-invariant |
L |
5.0927957917853 |
L(r)(E,1)/r! |
Ω |
0.089497661529211 |
Real period |
R |
6.3226925644595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778bd1 118482j1 |
Quadratic twists by: -3 -7 |