Atkin-Lehner |
2+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
100016d |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-78412544 = -1 · 28 · 73 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3 -1 7+ -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103,-586] |
[a1,a2,a3,a4,a6] |
j |
-472058064/306299 |
j-invariant |
L |
1.4561399012471 |
L(r)(E,1)/r! |
Ω |
0.7280699679266 |
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 |
50008h1 |
Quadratic twists by: -4 |