Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510do |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-1123338923021700 = -1 · 22 · 311 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 0 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-214997,38457969] |
[a1,a2,a3,a4,a6] |
j |
-261521362249/267300 |
j-invariant |
L |
3.8938426494989 |
L(r)(E,1)/r! |
Ω |
0.48673033119787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170a1 48510cq1 |
Quadratic twists by: -3 -7 |