Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926x |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
Δ |
-4849120870776 = -1 · 23 · 33 · 73 · 133 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,325,105950] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:157:1] |
Generators of the group modulo torsion |
j |
3813232609367/4849120870776 |
j-invariant |
L |
3.4454122562736 |
L(r)(E,1)/r! |
Ω |
0.60241049378814 |
Real period |
R |
0.63548624729807 |
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 |
50778bz2 118482h2 |
Quadratic twists by: -3 -7 |