Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576k |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
2715306381648 = 24 · 312 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-957918,360861545] |
[a1,a2,a3,a4,a6] |
Generators |
[4370:6165:8] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
5.4844069434951 |
L(r)(E,1)/r! |
Ω |
0.5902226205566 |
Real period |
R |
4.6460494332826 |
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 |
19152y1 76608bn1 3192m1 67032bb1 |
Quadratic twists by: -4 8 -3 -7 |