Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43602i |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-217661184 = -1 · 28 · 32 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,36,720] |
[a1,a2,a3,a4,a6] |
Generators |
[5:30:1] |
Generators of the group modulo torsion |
j |
2248091/99072 |
j-invariant |
L |
3.9547593555104 |
L(r)(E,1)/r! |
Ω |
1.3441400783985 |
Real period |
R |
1.4711113146115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43602t1 |
Quadratic twists by: 13 |