Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470r |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-6776000000 = -1 · 29 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,344,3136] |
[a1,a2,a3,a4,a6] |
Generators |
[36:232:1] |
Generators of the group modulo torsion |
j |
37199299511/56000000 |
j-invariant |
L |
6.7402899260088 |
L(r)(E,1)/r! |
Ω |
0.90449253047056 |
Real period |
R |
0.41400071181364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760bn2 76230bp2 42350w2 59290ei2 |
Quadratic twists by: -4 -3 5 -7 |