Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162n |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-5316813373032 = -1 · 23 · 39 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12357,543325] |
[a1,a2,a3,a4,a6] |
Generators |
[107:608:1] |
Generators of the group modulo torsion |
j |
-2433138625/61992 |
j-invariant |
L |
4.4725290342548 |
L(r)(E,1)/r! |
Ω |
0.76250435849466 |
Real period |
R |
0.73319729002692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054be1 5166q1 |
Quadratic twists by: -3 -7 |