Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322r |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41839668 = 22 · 32 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 -4 6 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-296,-2059] |
[a1,a2,a3,a4,a6] |
j |
1305751357/19044 |
j-invariant |
L |
4.608001145197 |
L(r)(E,1)/r! |
Ω |
1.1520002862993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966t2 23322g2 |
Quadratic twists by: -3 13 |