Atkin-Lehner |
2- 3- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576bq |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-542795157504 = -1 · 212 · 36 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -5 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1557,-26406] |
[a1,a2,a3,a4,a6] |
Generators |
[15:18:1] [39:-306:1] |
Generators of the group modulo torsion |
j |
139798359/181781 |
j-invariant |
L |
10.593181046282 |
L(r)(E,1)/r! |
Ω |
0.49338287592852 |
Real period |
R |
0.89460450521485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5661i1 10064a1 |
Quadratic twists by: -4 -3 |