Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dv |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-13730674028544 = -1 · 212 · 32 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4983,-114345] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1035:1] |
Generators of the group modulo torsion |
j |
3340021539392/3352215339 |
j-invariant |
L |
9.2713987575445 |
L(r)(E,1)/r! |
Ω |
0.38391270111388 |
Real period |
R |
2.0124798186865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576ca2 24288d1 |
Quadratic twists by: -4 8 |