Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165ba |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
344448 |
Modular degree for the optimal curve |
Δ |
17436244161375 = 32 · 53 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 5 -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82983,9191743] |
[a1,a2,a3,a4,a6] |
Generators |
[179:195:1] |
Generators of the group modulo torsion |
j |
77470572361/21375 |
j-invariant |
L |
10.632681294391 |
L(r)(E,1)/r! |
Ω |
0.67614977568397 |
Real period |
R |
2.6208890585925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165s1 |
Quadratic twists by: 13 |