Atkin-Lehner |
3+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729c |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199584 |
Modular degree for the optimal curve |
Δ |
-1143487700529867 = -1 · 39 · 77 · 113 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 0 7+ 11+ 7 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,5265,1620290] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:148:1] |
Generators of the group modulo torsion |
j |
820025856000/58095193849 |
j-invariant |
L |
2.6905200577742 |
L(r)(E,1)/r! |
Ω |
0.37276360829633 |
Real period |
R |
3.6088824095135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729g1 |
Quadratic twists by: -3 |