Atkin-Lehner |
2- 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9614f |
Isogeny class |
Conductor |
9614 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
3872 |
Modular degree for the optimal curve |
Δ |
187049984 = 211 · 11 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -2 1 1 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-640,6144] |
[a1,a2,a3,a4,a6] |
Generators |
[20:28:1] |
Generators of the group modulo torsion |
j |
28993860495361/187049984 |
j-invariant |
L |
5.2625255866324 |
L(r)(E,1)/r! |
Ω |
1.805414713142 |
Real period |
R |
0.13249349678058 |
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 |
76912h1 86526f1 105754i1 |
Quadratic twists by: -4 -3 -11 |