Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776y |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-42468636622848 = -1 · 237 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -3 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180449,29565825] |
[a1,a2,a3,a4,a6] |
Generators |
[247:56:1] |
Generators of the group modulo torsion |
j |
-2478846508717753/162004992 |
j-invariant |
L |
3.9049228568343 |
L(r)(E,1)/r! |
Ω |
0.60989637287494 |
Real period |
R |
3.2013002786254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776m1 4944l1 59328bo1 |
Quadratic twists by: -4 8 -3 |