Atkin-Lehner |
3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387g |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
724813353 = 38 · 113 · 83 |
Discriminant |
Eigenvalues |
1 3- 4 -2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,1183] |
[a1,a2,a3,a4,a6] |
j |
2248091/747 |
j-invariant |
L |
2.9564577210089 |
L(r)(E,1)/r! |
Ω |
1.4782288018098 |
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 |
30129b1 90387h1 |
Quadratic twists by: -3 -11 |