Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bh |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-1381168392192000 = -1 · 214 · 315 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68472,-7107264] |
[a1,a2,a3,a4,a6] |
Generators |
[304:168:1] |
Generators of the group modulo torsion |
j |
-389608818861653/15156854784 |
j-invariant |
L |
3.4058864038753 |
L(r)(E,1)/r! |
Ω |
0.14723171509334 |
Real period |
R |
2.891603892643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050bj1 21150cq1 |
Quadratic twists by: -3 5 |