Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090t |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
146168100 = 22 · 32 · 52 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-150,-465] |
[a1,a2,a3,a4,a6] |
j |
373403541601/146168100 |
j-invariant |
L |
2.8210631664781 |
L(r)(E,1)/r! |
Ω |
1.410531583239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720db2 36270m2 60450bf2 |
Quadratic twists by: -4 -3 5 |