Atkin-Lehner |
2+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43808a |
Isogeny class |
Conductor |
43808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
164206490176 = 26 · 376 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1369,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-255780:32672766:3048625] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
5.8475591718684 |
L(r)(E,1)/r! |
Ω |
0.86212721316397 |
Real period |
R |
13.565420700286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43808a1 87616z2 32a2 |
Quadratic twists by: -4 8 37 |