Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926n |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-37336409491376268 = -1 · 22 · 35 · 72 · 138 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123935,19143393] |
[a1,a2,a3,a4,a6] |
Generators |
[136:2129:1] |
Generators of the group modulo torsion |
j |
-210528599188783317625/37336409491376268 |
j-invariant |
L |
3.0209646496441 |
L(r)(E,1)/r! |
Ω |
0.3512195833003 |
Real period |
R |
0.53758474635316 |
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 |
50778bt2 118482bi2 |
Quadratic twists by: -3 -7 |