Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bk |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-360012800 = -1 · 210 · 52 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-253,1777] |
[a1,a2,a3,a4,a6] |
Generators |
[18:47:1] |
Generators of the group modulo torsion |
j |
-208909615/41984 |
j-invariant |
L |
12.327145424196 |
L(r)(E,1)/r! |
Ω |
1.6295168683106 |
Real period |
R |
0.37824540715073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450y1 100450bv1 |
Quadratic twists by: 5 -7 |