Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184l |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1682601984 = 211 · 36 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8811,318330] |
[a1,a2,a3,a4,a6] |
Generators |
[33:252:1] |
Generators of the group modulo torsion |
j |
50668941906/1127 |
j-invariant |
L |
4.5102944596906 |
L(r)(E,1)/r! |
Ω |
1.3819764007098 |
Real period |
R |
0.40795689938827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11592o2 92736ey2 2576h2 |
Quadratic twists by: -4 8 -3 |