Atkin-Lehner |
2+ 3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576k |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
48 |
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] |
Generators |
[-48:30:1] [-30:228:1] |
Generators of the group modulo torsion |
j |
557578826500/19211337 |
j-invariant |
L |
11.356517279395 |
L(r)(E,1)/r! |
Ω |
1.2104297702085 |
Real period |
R |
0.78185158960956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288b2 |
Quadratic twists by: -4 |