Atkin-Lehner |
3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90675bx |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1032844921875 = -1 · 38 · 58 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- -4 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-750,49531] |
[a1,a2,a3,a4,a6] |
j |
-163840/3627 |
j-invariant |
L |
1.4706081148893 |
L(r)(E,1)/r! |
Ω |
0.73530397338994 |
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 |
30225s1 90675p1 |
Quadratic twists by: -3 5 |