Atkin-Lehner |
3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23265q |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
203166056115 = 310 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11484,-470327] |
[a1,a2,a3,a4,a6] |
Generators |
[22822:1206505:8] |
Generators of the group modulo torsion |
j |
229771948621249/278691435 |
j-invariant |
L |
6.6106128918759 |
L(r)(E,1)/r! |
Ω |
0.46121785939166 |
Real period |
R |
7.1664754055657 |
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 |
7755c4 116325u4 |
Quadratic twists by: -3 5 |