Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184bi |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4298183184778592256 = 216 · 314 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-730659,-218720990] |
[a1,a2,a3,a4,a6] |
Generators |
[-3932715:-23482310:6859] |
Generators of the group modulo torsion |
j |
14447092394873377/1439452851984 |
j-invariant |
L |
5.5742696579917 |
L(r)(E,1)/r! |
Ω |
0.16434194487197 |
Real period |
R |
8.4796818948662 |
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 |
2898i4 92736dz3 7728r4 |
Quadratic twists by: -4 8 -3 |