Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bl |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-422552567808 = -1 · 215 · 36 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1407,24255] |
[a1,a2,a3,a4,a6] |
Generators |
[21:252:1] |
Generators of the group modulo torsion |
j |
9393931000/12895281 |
j-invariant |
L |
7.1515715062482 |
L(r)(E,1)/r! |
Ω |
0.63706344568006 |
Real period |
R |
0.93548656139134 |
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 |
25536g2 12768f2 76608ca2 |
Quadratic twists by: -4 8 -3 |