Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090u |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
739976006250 = 2 · 36 · 55 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33560,-2379985] |
[a1,a2,a3,a4,a6] |
j |
4180135669841427841/739976006250 |
j-invariant |
L |
3.5273504712535 |
L(r)(E,1)/r! |
Ω |
0.35273504712535 |
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 |
96720dd2 36270n2 60450bg2 |
Quadratic twists by: -4 -3 5 |