Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
14910bn |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-9089708544000 = -1 · 212 · 36 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7860,304272] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:468:1] |
Generators of the group modulo torsion |
j |
-53702537074079041/9089708544000 |
j-invariant |
L |
9.1261126949345 |
L(r)(E,1)/r! |
Ω |
0.7034922420783 |
Real period |
R |
0.18017478747593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
119280bp1 44730o1 74550k1 104370ci1 |
Quadratic twists by: -4 -3 5 -7 |