Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728cs |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
863139263680512 = 212 · 39 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33075,-1833678] |
[a1,a2,a3,a4,a6] |
j |
421875/91 |
j-invariant |
L |
2.875497955576 |
L(r)(E,1)/r! |
Ω |
0.35943725362136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5733a1 91728ct1 13104bk1 |
Quadratic twists by: -4 -3 -7 |