Atkin-Lehner |
3+ 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729a |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-541753575778107 = -1 · 39 · 75 · 11 · 533 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ 11+ 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-136944,19537868] |
[a1,a2,a3,a4,a6] |
Generators |
[286:1940:1] |
Generators of the group modulo torsion |
j |
-14429837712162816/27523933129 |
j-invariant |
L |
5.4913846575878 |
L(r)(E,1)/r! |
Ω |
0.52018599036449 |
Real period |
R |
5.2782896495722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729f1 |
Quadratic twists by: -3 |