Atkin-Lehner |
2- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bl |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-5075948800 = -1 · 28 · 52 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 3 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268,-3912] |
[a1,a2,a3,a4,a6] |
j |
-333862480/793117 |
j-invariant |
L |
1.1009925309981 |
L(r)(E,1)/r! |
Ω |
0.55049617672035 |
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 |
24700c1 98800cx1 |
Quadratic twists by: -4 5 |