Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490v |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-710556300 = -1 · 22 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,2668] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:74:1] [14:20:1] |
Generators of the group modulo torsion |
j |
-14317849/2700 |
j-invariant |
L |
6.3664946338015 |
L(r)(E,1)/r! |
Ω |
1.5424957609573 |
Real period |
R |
0.25796240397168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830t1 32490bq1 |
Quadratic twists by: -3 -19 |