Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cz |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.9518548081574E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2824871,1769612901] |
[a1,a2,a3,a4,a6] |
Generators |
[25914:4150083:1] |
Generators of the group modulo torsion |
j |
16840406336564161/604708416900 |
j-invariant |
L |
11.946137705412 |
L(r)(E,1)/r! |
Ω |
0.18959821320262 |
Real period |
R |
7.8759561222995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034329 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bh3 |
Quadratic twists by: -23 |