Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bv |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.9606801436092E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-980031,266298370] |
[a1,a2,a3,a4,a6] |
Generators |
[218:7938:1] |
Generators of the group modulo torsion |
j |
115562131792/32867289 |
j-invariant |
L |
4.1443479443395 |
L(r)(E,1)/r! |
Ω |
0.19489435226386 |
Real period |
R |
2.6580733975094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993251 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28392j2 6552l2 |
Quadratic twists by: -3 13 |