Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296ba |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6499013584896 = 211 · 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13179,-569270] |
[a1,a2,a3,a4,a6] |
Generators |
[138:490:1] |
Generators of the group modulo torsion |
j |
169556172914/4353013 |
j-invariant |
L |
7.2922319196087 |
L(r)(E,1)/r! |
Ω |
0.44628168423207 |
Real period |
R |
2.7233292997289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648z2 4144e2 |
Quadratic twists by: -4 -3 |