Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10512a |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-15104261808 = -1 · 24 · 311 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,510,-3913] |
[a1,a2,a3,a4,a6] |
j |
1257728000/1294947 |
j-invariant |
L |
1.3518825364555 |
L(r)(E,1)/r! |
Ω |
0.67594126822773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5256a1 42048bj1 3504a1 |
Quadratic twists by: -4 8 -3 |