Atkin-Lehner |
2+ 3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
33288b |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19672409088 = 210 · 36 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1728,-26244] |
[a1,a2,a3,a4,a6] |
j |
557578826500/19211337 |
j-invariant |
L |
1.4840233635451 |
L(r)(E,1)/r! |
Ω |
0.74201168177388 |
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 |
66576k2 99864k2 |
Quadratic twists by: -4 -3 |