Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776z |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-3280601088 = -1 · 217 · 35 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 5 4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,351,-1215] |
[a1,a2,a3,a4,a6] |
Generators |
[23:136:1] |
Generators of the group modulo torsion |
j |
36382894/25029 |
j-invariant |
L |
4.565760350689 |
L(r)(E,1)/r! |
Ω |
0.8005016306694 |
Real period |
R |
2.8518120237125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776n1 4944a1 59328bp1 |
Quadratic twists by: -4 8 -3 |