Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322t |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2164941070036992 = -1 · 212 · 32 · 136 · 233 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,32022,385956] |
[a1,a2,a3,a4,a6] |
Generators |
[92:1982:1] |
Generators of the group modulo torsion |
j |
752329532375/448524288 |
j-invariant |
L |
9.1300622718163 |
L(r)(E,1)/r! |
Ω |
0.28291590646139 |
Real period |
R |
1.3446372319034 |
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 |
69966n3 138b3 |
Quadratic twists by: -3 13 |