Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9384c |
Isogeny class |
Conductor |
9384 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1751279616 = -1 · 211 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,-2196] |
[a1,a2,a3,a4,a6] |
Generators |
[394:2597:8] |
Generators of the group modulo torsion |
j |
-384200066/855117 |
j-invariant |
L |
3.2720284658329 |
L(r)(E,1)/r! |
Ω |
0.59982988656877 |
Real period |
R |
5.4549273704083 |
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 |
18768f1 75072bs1 28152h1 |
Quadratic twists by: -4 8 -3 |