Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bc |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-41646653148672 = -1 · 29 · 311 · 11 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11+ 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653234,203376305] |
[a1,a2,a3,a4,a6] |
Generators |
[465:-305:1] |
Generators of the group modulo torsion |
j |
-42286515898294529497/57128467968 |
j-invariant |
L |
11.079240633165 |
L(r)(E,1)/r! |
Ω |
0.54583323802729 |
Real period |
R |
1.1276582766066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302j1 |
Quadratic twists by: -3 |