Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218ba |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-4676887409976117504 = -1 · 28 · 32 · 72 · 2310 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,274011,88308459] |
[a1,a2,a3,a4,a6] |
j |
54922367/112896 |
j-invariant |
L |
5.4060276017107 |
L(r)(E,1)/r! |
Ω |
0.16893836255346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66654bb1 22218w1 |
Quadratic twists by: -3 -23 |