Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162bo |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2658406686516 = -1 · 22 · 39 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2563,-61127] |
[a1,a2,a3,a4,a6] |
Generators |
[23:86:1] |
Generators of the group modulo torsion |
j |
804357/1148 |
j-invariant |
L |
9.4312369749664 |
L(r)(E,1)/r! |
Ω |
0.42973971217927 |
Real period |
R |
1.3716496154061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162h1 5166v1 |
Quadratic twists by: -3 -7 |