Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016h |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-11766782384 = -1 · 24 · 77 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,209,-5158] |
[a1,a2,a3,a4,a6] |
Generators |
[22:98:1] |
Generators of the group modulo torsion |
j |
62800480256/735423899 |
j-invariant |
L |
3.3479426911402 |
L(r)(E,1)/r! |
Ω |
0.62516462155868 |
Real period |
R |
0.76504253576487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50008a1 |
Quadratic twists by: -4 |