Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690g |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-57689763840 = -1 · 212 · 33 · 5 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,408,-10944] |
[a1,a2,a3,a4,a6] |
Generators |
[35:201:1] |
Generators of the group modulo torsion |
j |
7482383093879/57689763840 |
j-invariant |
L |
2.7427111121945 |
L(r)(E,1)/r! |
Ω |
0.55334639214076 |
Real period |
R |
2.4782949262428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cq1 29070bi1 48450bx1 |
Quadratic twists by: -4 -3 5 |