Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082bb |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-89625989376 = -1 · 28 · 310 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1152,20736] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:198:1] |
Generators of the group modulo torsion |
j |
-1397395501513/740710656 |
j-invariant |
L |
5.7231634389367 |
L(r)(E,1)/r! |
Ω |
0.9985470464819 |
Real period |
R |
0.035821818931195 |
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 |
40656bn1 15246w1 127050g1 35574ce1 |
Quadratic twists by: -4 -3 5 -7 |