Atkin-Lehner |
2+ 3+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42456a |
Isogeny class |
Conductor |
42456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
-344663921664 = -1 · 210 · 38 · 292 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -3 -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5096,-141156] |
[a1,a2,a3,a4,a6] |
Generators |
[90:348:1] |
Generators of the group modulo torsion |
j |
-14295430330276/336585861 |
j-invariant |
L |
4.8578833351916 |
L(r)(E,1)/r! |
Ω |
0.28213081227868 |
Real period |
R |
2.1523186779716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912d1 127368j1 |
Quadratic twists by: -4 -3 |