Atkin-Lehner |
2- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880r |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
3047616 |
Modular degree for the optimal curve |
Δ |
9.1026156593073E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -5 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4671407,3858945594] |
[a1,a2,a3,a4,a6] |
Generators |
[-2302:49130:1] |
Generators of the group modulo torsion |
j |
44037927117173313853776/355570924191692375 |
j-invariant |
L |
5.9307726191658 |
L(r)(E,1)/r! |
Ω |
0.19165777709384 |
Real period |
R |
0.9377150398844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28220b1 |
Quadratic twists by: -4 |