Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dh |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-9.216547325442E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48777592,64369795188] |
[a1,a2,a3,a4,a6] |
j |
200541749524551119231/144008551960031250 |
j-invariant |
L |
3.3382601700495 |
L(r)(E,1)/r! |
Ω |
0.046364724606143 |
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 |
6450c4 10320p4 |
Quadratic twists by: -4 5 |