Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408h |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3145728 |
Modular degree for the optimal curve |
Δ |
-1.0668916190785E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12322129,16726676305] |
[a1,a2,a3,a4,a6] |
Generators |
[3883:165564:1] |
Generators of the group modulo torsion |
j |
-12628770220528167730768/65117896672272327 |
j-invariant |
L |
3.2723607312711 |
L(r)(E,1)/r! |
Ω |
0.15614567568335 |
Real period |
R |
5.2392753066649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408di1 7176o1 |
Quadratic twists by: -4 8 |