Atkin-Lehner |
2- 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210v |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
7215642000 = 24 · 36 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-515,-2095] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:38:1] |
Generators of the group modulo torsion |
j |
15107691357361/7215642000 |
j-invariant |
L |
7.0508564674983 |
L(r)(E,1)/r! |
Ω |
1.0505996769569 |
Real period |
R |
0.5592723709886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630j1 106050s1 |
Quadratic twists by: -3 5 |