Atkin-Lehner |
2- 3+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616s |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6309822468096 = 212 · 34 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11737,-470375] |
[a1,a2,a3,a4,a6] |
Generators |
[48475:281520:343] |
Generators of the group modulo torsion |
j |
43658828648128/1540484001 |
j-invariant |
L |
6.4972561794098 |
L(r)(E,1)/r! |
Ω |
0.45967182305444 |
Real period |
R |
7.0672769689185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004222 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119616ba2 59808j1 |
Quadratic twists by: -4 8 |