Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cj |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
276138000000000 = 210 · 32 · 59 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-999563,-384730383] |
[a1,a2,a3,a4,a6] |
j |
7068613385194370281/17672832000 |
j-invariant |
L |
6.0395844966449 |
L(r)(E,1)/r! |
Ω |
0.15098961391238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010c1 |
Quadratic twists by: 5 |