Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926bk |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-581000657328 = -1 · 24 · 33 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1540,-28224] |
[a1,a2,a3,a4,a6] |
Generators |
[58:478:1] |
Generators of the group modulo torsion |
j |
403894788010559/581000657328 |
j-invariant |
L |
7.1582836270732 |
L(r)(E,1)/r! |
Ω |
0.48757407595234 |
Real period |
R |
0.61172616122411 |
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 |
50778m2 118482cg2 |
Quadratic twists by: -3 -7 |