Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768bd |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
1580544 |
Modular degree for the optimal curve |
Δ |
-8.2281211804511E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12398526,-21748738788] |
[a1,a2,a3,a4,a6] |
j |
-3293471763919519109730496/1285643934445484858643 |
j-invariant |
L |
4.9726129338235 |
L(r)(E,1)/r! |
Ω |
0.039465182014472 |
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 |
12768d1 25536v2 38304t1 89376cd1 |
Quadratic twists by: -4 8 -3 -7 |