Atkin-Lehner |
3+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729b |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-15166248867 = -1 · 33 · 73 · 11 · 533 |
Discriminant |
Eigenvalues |
2 3+ 2 7+ 11+ 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1629,-25991] |
[a1,a2,a3,a4,a6] |
Generators |
[18400265684:147932885873:211708736] |
Generators of the group modulo torsion |
j |
-17706111750144/561712921 |
j-invariant |
L |
12.702459457864 |
L(r)(E,1)/r! |
Ω |
0.37504099732103 |
Real period |
R |
16.934761197576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729h1 |
Quadratic twists by: -3 |