Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675i |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-707155341796875 = -1 · 3 · 510 · 176 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-60208,-5808432] |
[a1,a2,a3,a4,a6] |
Generators |
[2394:13579:8] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
1.4126320612207 |
L(r)(E,1)/r! |
Ω |
0.15212681567003 |
Real period |
R |
4.642942320849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025bt2 21675z1 75c2 |
Quadratic twists by: -3 5 17 |