Atkin-Lehner |
2+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5510d |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
1763200000 = 210 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 -3 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124435,-16864075] |
[a1,a2,a3,a4,a6] |
Generators |
[79266:4222111:27] |
Generators of the group modulo torsion |
j |
213085222187021631369/1763200000 |
j-invariant |
L |
4.3294558721295 |
L(r)(E,1)/r! |
Ω |
0.25419309747414 |
Real period |
R |
8.516076784048 |
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 |
44080g1 49590ce1 27550z1 104690y1 |
Quadratic twists by: -4 -3 5 -19 |