Atkin-Lehner |
2- 3+ 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
56772b |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-75091643136 = -1 · 28 · 33 · 19 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,624,-11740] |
[a1,a2,a3,a4,a6] |
Generators |
[37:249:1] |
Generators of the group modulo torsion |
j |
3887529984/10863953 |
j-invariant |
L |
5.1482462627952 |
L(r)(E,1)/r! |
Ω |
0.55981237936819 |
Real period |
R |
0.5109098901721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56772a1 |
Quadratic twists by: -3 |