Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675v |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-13079545201875 = -1 · 3 · 54 · 178 |
Discriminant |
Eigenvalues |
0 3- 5- 1 -2 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4817,118744] |
[a1,a2,a3,a4,a6] |
Generators |
[7462:165859:343] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
5.2605602302114 |
L(r)(E,1)/r! |
Ω |
0.4693034291805 |
Real period |
R |
5.6046471249928 |
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 |
65025cc1 21675a1 1275c1 |
Quadratic twists by: -3 5 17 |