Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720o |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5699105798400 = 28 · 32 · 52 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39796,-3066820] |
[a1,a2,a3,a4,a6] |
Generators |
[-26066398:-10163160:226981] |
Generators of the group modulo torsion |
j |
27227823479373904/22262132025 |
j-invariant |
L |
6.6936307120447 |
L(r)(E,1)/r! |
Ω |
0.33803378332876 |
Real period |
R |
9.9008309851769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360s2 |
Quadratic twists by: -4 |