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 |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-146635731675 = -1 · 35 · 52 · 176 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -3 -2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,482,17808] |
[a1,a2,a3,a4,a6] |
Generators |
[6:144:1] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
1.4126320612207 |
L(r)(E,1)/r! |
Ω |
0.76063407835014 |
Real period |
R |
0.9285884641698 |
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 |
65025bt1 21675z2 75c1 |
Quadratic twists by: -3 5 17 |