Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648j |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11218341888 = -1 · 212 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,3872] |
[a1,a2,a3,a4,a6] |
Generators |
[8:88:1] |
Generators of the group modulo torsion |
j |
2744000/3757 |
j-invariant |
L |
4.6562131092286 |
L(r)(E,1)/r! |
Ω |
0.86185701509387 |
Real period |
R |
2.7012677437987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648t2 127296c1 7072g2 |
Quadratic twists by: -4 8 -3 |