Atkin-Lehner |
2- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18772d |
Isogeny class |
Conductor |
18772 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-6886273249648 = -1 · 24 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 0 0 -2 2 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4085,-161367] |
[a1,a2,a3,a4,a6] |
Generators |
[456:9633:1] |
Generators of the group modulo torsion |
j |
-68694048000/62748517 |
j-invariant |
L |
4.3151087483327 |
L(r)(E,1)/r! |
Ω |
0.28771874559727 |
Real period |
R |
1.071261633692 |
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 |
75088w1 18772a1 |
Quadratic twists by: -4 -19 |