Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729s |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
-4743189046827 = -1 · 319 · 7 · 11 · 53 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6240,-216738] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:75149:1] |
Generators of the group modulo torsion |
j |
-36859543552000/6506432163 |
j-invariant |
L |
3.9963525052394 |
L(r)(E,1)/r! |
Ω |
0.26602073597506 |
Real period |
R |
7.5113552531739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12243j1 |
Quadratic twists by: -3 |