Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590cc |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-1606716000000 = -1 · 28 · 36 · 56 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5897,186121] |
[a1,a2,a3,a4,a6] |
Generators |
[61:-256:1] |
Generators of the group modulo torsion |
j |
-31104306411849/2204000000 |
j-invariant |
L |
10.567584249202 |
L(r)(E,1)/r! |
Ω |
0.82948894266238 |
Real period |
R |
0.26541403250558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5510a1 |
Quadratic twists by: -3 |