Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320ba |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54083635200 = 211 · 38 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171760,27341600] |
[a1,a2,a3,a4,a6] |
Generators |
[275:990:1] |
Generators of the group modulo torsion |
j |
273629163383866082/26408025 |
j-invariant |
L |
6.7921217002952 |
L(r)(E,1)/r! |
Ω |
0.86074419818808 |
Real period |
R |
1.972746872588 |
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 |
38640m4 57960k4 96600p4 |
Quadratic twists by: -4 -3 5 |