Atkin-Lehner |
3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5655i |
Isogeny class |
Conductor |
5655 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-16540875 = -1 · 33 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 -3 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,0,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-98:1] |
Generators of the group modulo torsion |
j |
-4096/16540875 |
j-invariant |
L |
2.4948871568859 |
L(r)(E,1)/r! |
Ω |
1.0069355389733 |
Real period |
R |
0.13765016397231 |
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 |
90480bm1 16965j1 28275e1 73515k1 |
Quadratic twists by: -4 -3 5 13 |