Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15792k |
Isogeny class |
Conductor |
15792 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5090492832768 = 210 · 38 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6048,142884] |
[a1,a2,a3,a4,a6] |
Generators |
[0:378:1] |
Generators of the group modulo torsion |
j |
23896313594500/4971184407 |
j-invariant |
L |
5.8746745042448 |
L(r)(E,1)/r! |
Ω |
0.72537466994749 |
Real period |
R |
0.33745058172662 |
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 |
7896d2 63168cm2 47376r2 110544p2 |
Quadratic twists by: -4 8 -3 -7 |