Atkin-Lehner |
2- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5510i |
Isogeny class |
Conductor |
5510 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
11400 |
Modular degree for the optimal curve |
Δ |
-46339100000 = -1 · 25 · 55 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -4 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-603,-11669] |
[a1,a2,a3,a4,a6] |
j |
-24210305209089/46339100000 |
j-invariant |
L |
6.8014830706611 |
L(r)(E,1)/r! |
Ω |
0.45343220471074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44080h1 49590v1 27550k1 104690e1 |
Quadratic twists by: -4 -3 5 -19 |