Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8946l |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-30677766336 = -1 · 26 · 39 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441,9261] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:119:1] [-6:111:1] |
Generators of the group modulo torsion |
j |
-13027640977/42081984 |
j-invariant |
L |
3.8737223827071 |
L(r)(E,1)/r! |
Ω |
1.0304817059648 |
Real period |
R |
0.15663072749877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568bm1 2982k1 62622bd1 |
Quadratic twists by: -4 -3 -7 |