Atkin-Lehner |
3- 7- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
35511d |
Isogeny class |
Conductor |
35511 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
14194365408153 = 35 · 72 · 19 · 894 |
Discriminant |
Eigenvalues |
1 3- 4 7- -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18579,-959231] |
[a1,a2,a3,a4,a6] |
Generators |
[-44216:49887:512] |
Generators of the group modulo torsion |
j |
709181035629709609/14194365408153 |
j-invariant |
L |
10.909556527825 |
L(r)(E,1)/r! |
Ω |
0.4094256582837 |
Real period |
R |
2.6646001067824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533k1 |
Quadratic twists by: -3 |