Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720x |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
37683883238400 = 210 · 36 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17920,868868] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1218:1] |
Generators of the group modulo torsion |
j |
621529871800324/36800667225 |
j-invariant |
L |
8.7486838826538 |
L(r)(E,1)/r! |
Ω |
0.63862929066534 |
Real period |
R |
0.5707982712943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360g2 |
Quadratic twists by: -4 |