Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040s |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5703150664396390400 = -1 · 214 · 52 · 1310 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584347,-206789814] |
[a1,a2,a3,a4,a6] |
Generators |
[144438207843843538492014:-4173128143536142634349765:105352941151716226424] |
Generators of the group modulo torsion |
j |
-5387362765947447921/1392370767674900 |
j-invariant |
L |
6.5162590400288 |
L(r)(E,1)/r! |
Ω |
0.085184019514695 |
Real period |
R |
38.248130772417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13130h2 |
Quadratic twists by: -4 |