Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336bd |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.2262294453739E+23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12478368,2004869888] |
[a1,a2,a3,a4,a6] |
j |
52461072723569038782625/29937242318698495088 |
j-invariant |
L |
3.2291464247295 |
L(r)(E,1)/r! |
Ω |
0.089698511798086 |
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 |
3542o4 113344cw4 |
Quadratic twists by: -4 8 |