Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728gd |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
556819730432784 = 24 · 36 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -5 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21609,-453789] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:559:1] |
Generators of the group modulo torsion |
j |
338688/169 |
j-invariant |
L |
3.0827899525074 |
L(r)(E,1)/r! |
Ω |
0.41467433691829 |
Real period |
R |
3.7171217097956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999740472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22932bb1 10192bo1 91728dl1 |
Quadratic twists by: -4 -3 -7 |