Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768i |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4622303232 = 214 · 38 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8220,286832] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-72:1] [2:520:1] |
Generators of the group modulo torsion |
j |
5142706000/387 |
j-invariant |
L |
7.7351651862538 |
L(r)(E,1)/r! |
Ω |
1.3089111072307 |
Real period |
R |
1.4774046043926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24768ci2 1548b2 8256a2 |
Quadratic twists by: -4 8 -3 |