Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950c |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
4307600000000 = 210 · 58 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4275,-41875] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:191:1] |
Generators of the group modulo torsion |
j |
553185473329/275686400 |
j-invariant |
L |
7.4582103237485 |
L(r)(E,1)/r! |
Ω |
0.62166535617421 |
Real period |
R |
2.9992866136319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790g1 |
Quadratic twists by: 5 |