Atkin-Lehner |
5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3185h |
Isogeny class |
Conductor |
3185 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
15222677640625 = 56 · 78 · 132 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14464,646323] |
[a1,a2,a3,a4,a6] |
j |
2844576388809/129390625 |
j-invariant |
L |
2.0767690031966 |
L(r)(E,1)/r! |
Ω |
0.69225633439887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50960by2 28665be2 15925g2 455a2 |
Quadratic twists by: -4 -3 5 -7 |