Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675h |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-230296875 = -1 · 3 · 56 · 173 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,142,-382] |
[a1,a2,a3,a4,a6] |
Generators |
[6:25:1] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
2.5352026305112 |
L(r)(E,1)/r! |
Ω |
0.99020612892861 |
Real period |
R |
1.2801388299092 |
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 |
65025br1 867e1 21675r1 |
Quadratic twists by: -3 5 17 |