Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bf |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-14772302562500 = -1 · 22 · 56 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3037,-173083] |
[a1,a2,a3,a4,a6] |
j |
34391/164 |
j-invariant |
L |
6.36411852062 |
L(r)(E,1)/r! |
Ω |
0.35356213781694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018a1 100450bu1 |
Quadratic twists by: 5 -7 |