Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270w |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5836845976065093750 = -1 · 2 · 3 · 56 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-297813,-132026162] |
[a1,a2,a3,a4,a6] |
Generators |
[6756752:-226372070:4913] |
Generators of the group modulo torsion |
j |
-131794519969/263343750 |
j-invariant |
L |
6.330155660212 |
L(r)(E,1)/r! |
Ω |
0.096017989533903 |
Real period |
R |
10.987794568289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590m2 |
Quadratic twists by: 53 |