Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169o |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-1627010395936939629 = -1 · 313 · 79 · 113 · 19 |
Discriminant |
Eigenvalues |
1 3- -1 7- 11+ 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170235,67103014] |
[a1,a2,a3,a4,a6] |
Generators |
[16630:846784:125] |
Generators of the group modulo torsion |
j |
-18546494023/55307043 |
j-invariant |
L |
5.2576012024607 |
L(r)(E,1)/r! |
Ω |
0.23460166809109 |
Real period |
R |
5.602689488307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30723l1 92169u1 |
Quadratic twists by: -3 -7 |