Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784u |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-4411838824448 = -1 · 217 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 1 -4 3 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,101044] |
[a1,a2,a3,a4,a6] |
Generators |
[51:484:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
5.2642469666522 |
L(r)(E,1)/r! |
Ω |
0.61752963090476 |
Real period |
R |
2.1311718107116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598k1 304a1 |
Quadratic twists by: -4 -11 |