Atkin-Lehner |
2+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880b |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-3910400 = -1 · 28 · 52 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81,-325] |
[a1,a2,a3,a4,a6] |
Generators |
[22:95:1] |
Generators of the group modulo torsion |
j |
-232428544/15275 |
j-invariant |
L |
3.979929636834 |
L(r)(E,1)/r! |
Ω |
0.79187570622659 |
Real period |
R |
2.5129762193242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24440f1 |
Quadratic twists by: -4 |