Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57798s |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-20859113015208 = -1 · 23 · 37 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 5 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,220104] |
[a1,a2,a3,a4,a6] |
Generators |
[75:723:1] |
Generators of the group modulo torsion |
j |
-15625/5928 |
j-invariant |
L |
3.9063389254074 |
L(r)(E,1)/r! |
Ω |
0.55357634484594 |
Real period |
R |
0.88206869787531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266z1 4446n1 |
Quadratic twists by: -3 13 |