Atkin-Lehner |
3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525v |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4614421875 = 3 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16426,-811627] |
[a1,a2,a3,a4,a6] |
j |
31366144171153/295323 |
j-invariant |
L |
1.6868637440866 |
L(r)(E,1)/r! |
Ω |
0.42171593602166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575s4 861a3 |
Quadratic twists by: -3 5 |