Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798p |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-711608976 = -1 · 24 · 36 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -6 13+ -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441,3901] |
[a1,a2,a3,a4,a6] |
Generators |
[14:11:1] [-13:92:1] |
Generators of the group modulo torsion |
j |
-77086633/5776 |
j-invariant |
L |
5.7663542557495 |
L(r)(E,1)/r! |
Ω |
1.5768958602293 |
Real period |
R |
0.45709694606247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422g1 57798br1 |
Quadratic twists by: -3 13 |