Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690y |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-55472739204720 = -1 · 24 · 3 · 5 · 173 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7610,-440748] |
[a1,a2,a3,a4,a6] |
Generators |
[252:3570:1] |
Generators of the group modulo torsion |
j |
-48739520159483041/55472739204720 |
j-invariant |
L |
7.4007239548556 |
L(r)(E,1)/r! |
Ω |
0.24475212240115 |
Real period |
R |
5.0396048883054 |
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 |
77520bo3 29070o3 48450l3 |
Quadratic twists by: -4 -3 5 |