Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232db |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40964620091129856 = 218 · 36 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89217,3251745] |
[a1,a2,a3,a4,a6] |
Generators |
[-58123:10194240:4913] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
5.9571773653113 |
L(r)(E,1)/r! |
Ω |
0.31866648331869 |
Real period |
R |
9.3470409929394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23232ca2 5808bg2 69696gp2 2112v2 |
Quadratic twists by: -4 8 -3 -11 |