Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162m |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-369069372 = -1 · 22 · 38 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,972] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-30:1] |
Generators of the group modulo torsion |
j |
-166375/1476 |
j-invariant |
L |
4.2797083533279 |
L(r)(E,1)/r! |
Ω |
1.4511334179876 |
Real period |
R |
0.73730442361082 |
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 |
12054bj1 36162y1 |
Quadratic twists by: -3 -7 |