Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650cn |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-9213750000 = -1 · 24 · 34 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,4617] |
[a1,a2,a3,a4,a6] |
j |
-1771561/589680 |
j-invariant |
L |
4.2191986864889 |
L(r)(E,1)/r! |
Ω |
1.0547996716222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200dv1 40950bc1 2730h1 95550gf1 |
Quadratic twists by: -4 -3 5 -7 |