Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824k |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-282621973446656 = -1 · 214 · 297 |
Discriminant |
Eigenvalues |
2+ -3 -3 4 -1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16251484,-25216665104] |
[a1,a2,a3,a4,a6] |
Generators |
[36714:6990392:1] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
2.9938562312189 |
L(r)(E,1)/r! |
Ω |
0.037596403574884 |
Real period |
R |
4.9769657910486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824bf1 3364c1 1856g1 |
Quadratic twists by: -4 8 29 |