Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550b |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
5508000000 = 28 · 34 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-850,8500] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:115:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
2.0222602930339 |
L(r)(E,1)/r! |
Ω |
1.3234641725418 |
Real period |
R |
0.76400265870062 |
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 |
20400cx1 81600cn1 7650bz1 102b1 |
Quadratic twists by: -4 8 -3 5 |