Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090t |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3320216250 = 2 · 3 · 54 · 134 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1080,12927] |
[a1,a2,a3,a4,a6] |
j |
139322131816321/3320216250 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
96720db3 36270m3 60450bf3 |
Quadratic twists by: -4 -3 5 |