Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090j |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
30599112960 = 28 · 33 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-989,-8584] |
[a1,a2,a3,a4,a6] |
j |
106827039259849/30599112960 |
j-invariant |
L |
2.6100490843918 |
L(r)(E,1)/r! |
Ω |
0.87001636146393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720bi1 36270bt1 60450cc1 |
Quadratic twists by: -4 -3 5 |