Atkin-Lehner |
2+ 5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
111650h |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1626567051187E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3287281,-1603813692] |
[a1,a2,a3,a4,a6] |
Generators |
[-1252:24072:1] [-933:25986:1] |
Generators of the group modulo torsion |
j |
31428524907932077400957/9301253640949931584 |
j-invariant |
L |
5.3092518321574 |
L(r)(E,1)/r! |
Ω |
0.11467603398638 |
Real period |
R |
1.4468072712068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999970019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111650y2 |
Quadratic twists by: 5 |