Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bi |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-15268608000 = -1 · 211 · 33 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,405,-5050] |
[a1,a2,a3,a4,a6] |
Generators |
[14:58:1] |
Generators of the group modulo torsion |
j |
1062882/2209 |
j-invariant |
L |
4.3946996058266 |
L(r)(E,1)/r! |
Ω |
0.64763155886311 |
Real period |
R |
3.3929010591306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84600h2 84600g2 |
Quadratic twists by: -3 5 |