Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18424a |
Isogeny class |
Conductor |
18424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
775871488 = 210 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259,-882] |
[a1,a2,a3,a4,a6] |
j |
5470524/2209 |
j-invariant |
L |
2.4651930540928 |
L(r)(E,1)/r! |
Ω |
1.2325965270464 |
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 |
36848e2 18424b2 |
Quadratic twists by: -4 -7 |