Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336d |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-456704790227712 = -1 · 28 · 37 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17745,-478946] |
[a1,a2,a3,a4,a6] |
j |
686000/507 |
j-invariant |
L |
1.1817058380601 |
L(r)(E,1)/r! |
Ω |
0.29542645951505 |
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 |
12168c2 97344er2 8112j2 1872d2 |
Quadratic twists by: -4 8 -3 13 |