Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bd |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-43079006158848 = -1 · 218 · 310 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,-317025] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2112:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
6.3655399288492 |
L(r)(E,1)/r! |
Ω |
0.28471320629683 |
Real period |
R |
1.117886312968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cm1 759a1 |
Quadratic twists by: -4 8 |