Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544l |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-758661552 = -1 · 24 · 310 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,187,828] |
[a1,a2,a3,a4,a6] |
Generators |
[3884:242028:1] |
Generators of the group modulo torsion |
j |
44957696000/47416347 |
j-invariant |
L |
2.9192493115861 |
L(r)(E,1)/r! |
Ω |
1.0577253860012 |
Real period |
R |
5.5198624335253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9636a1 115632u1 |
Quadratic twists by: -4 -3 |