Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dh |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
6541516800 = 213 · 33 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -5 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-578,-3519] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] [-15:47:1] |
Generators of the group modulo torsion |
j |
4672530603/1433600 |
j-invariant |
L |
15.539002177542 |
L(r)(E,1)/r! |
Ω |
0.99709452042262 |
Real period |
R |
0.29969773058931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470l1 106470q1 |
Quadratic twists by: -3 13 |