Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cl |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1437345000000 = 26 · 35 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3563,-58383] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:169:1] |
Generators of the group modulo torsion |
j |
320153881321/91990080 |
j-invariant |
L |
8.3980729647765 |
L(r)(E,1)/r! |
Ω |
0.63147660352202 |
Real period |
R |
0.22165173177536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200dq1 40950t1 2730j1 95550hg1 |
Quadratic twists by: -4 -3 5 -7 |