Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320bb |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
53333224761600 = 28 · 38 · 52 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9700,105248] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:378:1] |
Generators of the group modulo torsion |
j |
394315384276816/208332909225 |
j-invariant |
L |
6.512537054394 |
L(r)(E,1)/r! |
Ω |
0.55299653220616 |
Real period |
R |
1.4721016939321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
38640k2 57960r2 96600i2 |
Quadratic twists by: -4 -3 5 |