Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24552o |
Isogeny class |
Conductor |
24552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14881678392480768 = 210 · 37 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61779,695198] |
[a1,a2,a3,a4,a6] |
j |
34931629871428/19935375933 |
j-invariant |
L |
2.7051121360456 |
L(r)(E,1)/r! |
Ω |
0.33813901700571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104u3 8184d4 |
Quadratic twists by: -4 -3 |