Atkin-Lehner |
2+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5510g |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
45137920 = 214 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -1 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-153,636] |
[a1,a2,a3,a4,a6] |
Generators |
[27:114:1] |
Generators of the group modulo torsion |
j |
392383937161/45137920 |
j-invariant |
L |
3.6459582274318 |
L(r)(E,1)/r! |
Ω |
1.9556552612252 |
Real period |
R |
0.93215770174841 |
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 |
44080o1 49590bt1 27550x1 104690be1 |
Quadratic twists by: -4 -3 5 -19 |