Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184bi |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57011454954897408 = 216 · 38 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2550819,1568035618] |
[a1,a2,a3,a4,a6] |
Generators |
[9951:980590:1] |
Generators of the group modulo torsion |
j |
614716917569296417/19093020912 |
j-invariant |
L |
5.5742696579917 |
L(r)(E,1)/r! |
Ω |
0.32868388974393 |
Real period |
R |
8.4796818948662 |
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 |
2898i3 92736dz4 7728r3 |
Quadratic twists by: -4 8 -3 |