Atkin-Lehner |
2+ 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ce |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
808217483673600 = 218 · 36 · 52 · 7 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24039,-426627] |
[a1,a2,a3,a4,a6] |
j |
2107441550633329/1108665958400 |
j-invariant |
L |
2.4397083657387 |
L(r)(E,1)/r! |
Ω |
0.40661806193717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010s1 |
Quadratic twists by: -3 |