Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51984cc |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-20480864256 = -1 · 212 · 36 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5472,155952] |
[a1,a2,a3,a4,a6] |
Generators |
[57:171:1] |
Generators of the group modulo torsion |
j |
-884736 |
j-invariant |
L |
5.0967173128542 |
L(r)(E,1)/r! |
Ω |
1.2097075909938 |
Real period |
R |
1.053295306815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3249a1 5776g1 51984cc2 |
Quadratic twists by: -4 -3 -19 |