Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675x |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
3028761037747125 = 310 · 53 · 177 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 -6 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123698,-16544913] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:532:1] |
Generators of the group modulo torsion |
j |
69375867029/1003833 |
j-invariant |
L |
2.438597976072 |
L(r)(E,1)/r! |
Ω |
0.25479412487882 |
Real period |
R |
0.47854281907635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65025cd2 21675k2 1275b2 |
Quadratic twists by: -3 5 17 |