Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73568p |
Isogeny class |
Conductor |
73568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-424928768 = -1 · 29 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 -2 1 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2944,-60520] |
[a1,a2,a3,a4,a6] |
Generators |
[777854:3514207:10648] |
Generators of the group modulo torsion |
j |
-45564783176/6859 |
j-invariant |
L |
3.5085220481345 |
L(r)(E,1)/r! |
Ω |
0.32405512396987 |
Real period |
R |
10.826929710293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73568t1 73568k1 |
Quadratic twists by: -4 -11 |