Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73034j |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4006800 |
Modular degree for the optimal curve |
Δ |
-2.2760947428338E+20 |
Discriminant |
Eigenvalues |
2- 1 -2 -4 -4 13+ 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4184064,3372841088] |
[a1,a2,a3,a4,a6] |
Generators |
[-10536:1904152:27] |
Generators of the group modulo torsion |
j |
-130110312097/3655808 |
j-invariant |
L |
6.4228923231191 |
L(r)(E,1)/r! |
Ω |
0.17611845664563 |
Real period |
R |
0.86831335344321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73034b1 |
Quadratic twists by: 53 |