Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12036c |
Isogeny class |
Conductor |
12036 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-1.160239327767E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 2 3 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,314843,-513656041] |
[a1,a2,a3,a4,a6] |
Generators |
[761090:12938877:1000] |
Generators of the group modulo torsion |
j |
13482315729399775232/453218487408995571 |
j-invariant |
L |
5.2206478767379 |
L(r)(E,1)/r! |
Ω |
0.090004029606077 |
Real period |
R |
4.1431858262245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48144g2 36108h2 |
Quadratic twists by: -4 -3 |