Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648c |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18229805568 = 29 · 36 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16275,799126] |
[a1,a2,a3,a4,a6] |
Generators |
[57:238:1] |
Generators of the group modulo torsion |
j |
1277289125000/48841 |
j-invariant |
L |
7.3923298489542 |
L(r)(E,1)/r! |
Ω |
1.1489820050113 |
Real period |
R |
1.6084520506821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648d2 127296dm2 7072e2 |
Quadratic twists by: -4 8 -3 |