Atkin-Lehner |
2- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56440b |
Isogeny class |
Conductor |
56440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-8818750000 = -1 · 24 · 58 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262,4213] |
[a1,a2,a3,a4,a6] |
Generators |
[-7578:13951:729] |
Generators of the group modulo torsion |
j |
124310439936/551171875 |
j-invariant |
L |
6.776644243296 |
L(r)(E,1)/r! |
Ω |
0.9325634271001 |
Real period |
R |
7.2666845454633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112880a1 |
Quadratic twists by: -4 |