Atkin-Lehner |
3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
57285d |
Isogeny class |
Conductor |
57285 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
67092480 |
Modular degree for the optimal curve |
Δ |
2.2696069766232E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16741867577,833788972977576] |
[a1,a2,a3,a4,a6] |
j |
711881802147435802741104664697929/311331546861895265625 |
j-invariant |
L |
1.0820485049814 |
L(r)(E,1)/r! |
Ω |
0.060113805817781 |
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 |
19095a1 |
Quadratic twists by: -3 |