Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926o |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7345884 = 22 · 3 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-836,-9660] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:9:1] |
Generators of the group modulo torsion |
j |
64737212661577/7345884 |
j-invariant |
L |
2.3101694089065 |
L(r)(E,1)/r! |
Ω |
0.88773495619396 |
Real period |
R |
1.3011594242109 |
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 |
50778bv2 118482bk2 |
Quadratic twists by: -3 -7 |