Atkin-Lehner |
2+ 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58512d |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-39939530544 = -1 · 24 · 36 · 23 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 7 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4411,-114652] |
[a1,a2,a3,a4,a6] |
j |
-593353292007424/2496220659 |
j-invariant |
L |
1.7569888556362 |
L(r)(E,1)/r! |
Ω |
0.29283147631537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29256f1 |
Quadratic twists by: -4 |