Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124c |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
445209493600144 = 24 · 78 · 136 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19322,-201811] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
1.7387354691267 |
L(r)(E,1)/r! |
Ω |
0.43468386728273 |
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 |
33124m1 196b1 |
Quadratic twists by: -7 13 |