Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6090j |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
9259822340096580 = 22 · 318 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-111364,-13543474] |
[a1,a2,a3,a4,a6] |
j |
152739924334437553849/9259822340096580 |
j-invariant |
L |
1.5740161578009 |
L(r)(E,1)/r! |
Ω |
0.26233602630016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48720be1 18270bx1 30450bw1 42630w1 |
Quadratic twists by: -4 -3 5 -7 |