Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190x |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
1260152350370250480 = 24 · 314 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-496224,-123268994] |
[a1,a2,a3,a4,a6] |
Generators |
[-331:2343:1] |
Generators of the group modulo torsion |
j |
7627805994948049/711323149680 |
j-invariant |
L |
5.8387174967192 |
L(r)(E,1)/r! |
Ω |
0.18095387394285 |
Real period |
R |
0.57618447270231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290ba2 |
Quadratic twists by: -11 |