Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162m |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2521974042 = 2 · 37 · 73 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1962,33858] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:167:1] |
Generators of the group modulo torsion |
j |
3341362375/10086 |
j-invariant |
L |
4.2797083533279 |
L(r)(E,1)/r! |
Ω |
1.4511334179876 |
Real period |
R |
1.4746088472216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bj2 36162y2 |
Quadratic twists by: -3 -7 |