Atkin-Lehner |
2- 3- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894z |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1452369204 = -1 · 22 · 310 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-651,6597] |
[a1,a2,a3,a4,a6] |
Generators |
[6:51:1] |
Generators of the group modulo torsion |
j |
-30514648531249/1452369204 |
j-invariant |
L |
11.020195610924 |
L(r)(E,1)/r! |
Ω |
1.4981596033648 |
Real period |
R |
0.3677911080426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682t1 |
Quadratic twists by: -3 |