Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090h |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16321500000000000 = 211 · 34 · 512 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-356548934,2591324771096] |
[a1,a2,a3,a4,a6] |
j |
5012808770744123733046717639129/16321500000000000 |
j-invariant |
L |
1.4756510175338 |
L(r)(E,1)/r! |
Ω |
0.18445637719173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720be4 36270bq4 60450by4 |
Quadratic twists by: -4 -3 5 |