Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bj |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2125211801039667200 = -1 · 220 · 52 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35377,-70089223] |
[a1,a2,a3,a4,a6] |
Generators |
[22242:-625777:27] |
Generators of the group modulo torsion |
j |
1664783262455/722560090112 |
j-invariant |
L |
13.660242382542 |
L(r)(E,1)/r! |
Ω |
0.12214485047431 |
Real period |
R |
1.3979552048788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450x2 14350t1 |
Quadratic twists by: 5 -7 |