Atkin-Lehner |
2+ 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048t |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4039680 |
Modular degree for the optimal curve |
Δ |
3520037642688 = 26 · 36 · 75 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100595488,-388376878018] |
[a1,a2,a3,a4,a6] |
j |
1759054308025803683462056000/55000588167 |
j-invariant |
L |
0.14301323321243 |
L(r)(E,1)/r! |
Ω |
0.047671073170892 |
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 |
90048k1 45024h2 |
Quadratic twists by: -4 8 |