Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
101232l |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-74823464005632 = -1 · 212 · 33 · 192 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25755,1644426] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:1776:1] |
Generators of the group modulo torsion |
j |
-17083807243875/676572121 |
j-invariant |
L |
6.8064742186248 |
L(r)(E,1)/r! |
Ω |
0.60830258298108 |
Real period |
R |
0.69933064600485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6327b2 101232m2 |
Quadratic twists by: -4 -3 |