Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10512c |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-186472368 = -1 · 24 · 37 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210,1343] |
[a1,a2,a3,a4,a6] |
j |
-87808000/15987 |
j-invariant |
L |
3.4521514384492 |
L(r)(E,1)/r! |
Ω |
1.7260757192246 |
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 |
5256b1 42048bm1 3504c1 |
Quadratic twists by: -4 8 -3 |