Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bz |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.9920018623767E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1395613,538408866] |
[a1,a2,a3,a4,a6] |
Generators |
[-343:4400:1] [-79:20680:1] |
Generators of the group modulo torsion |
j |
73393700070562507719/73046920468181275 |
j-invariant |
L |
11.456419634616 |
L(r)(E,1)/r! |
Ω |
0.11372945865195 |
Real period |
R |
8.3944973206965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002932 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7315f4 |
Quadratic twists by: -4 |