Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cg |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2022944202031104 = 220 · 32 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170529,26961471] |
[a1,a2,a3,a4,a6] |
Generators |
[31098:1928619:8] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
6.2684878178302 |
L(r)(E,1)/r! |
Ω |
0.4677751021078 |
Real period |
R |
6.7003222163645 |
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 |
23232de2 726c2 69696cm2 2112r2 |
Quadratic twists by: -4 8 -3 -11 |