Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640b |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
4256000 = 28 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5543,-158842] |
[a1,a2,a3,a4,a6] |
j |
73572986019024/16625 |
j-invariant |
L |
1.1066068050835 |
L(r)(E,1)/r! |
Ω |
0.55330340254176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5320b1 42560cv1 95760bl1 53200q1 |
Quadratic twists by: -4 8 -3 5 |