Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5046m |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
128719261728 = 25 · 314 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -6 6 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1308,-5904] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:96:1] |
Generators of the group modulo torsion |
j |
294287421625/153055008 |
j-invariant |
L |
6.051287280757 |
L(r)(E,1)/r! |
Ω |
0.84046151073986 |
Real period |
R |
0.10285653780573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40368t1 15138e1 126150e1 5046c1 |
Quadratic twists by: -4 -3 5 29 |