Atkin-Lehner |
2+ 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648d |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-60318369792 = -1 · 211 · 38 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,11882] |
[a1,a2,a3,a4,a6] |
Generators |
[1:108:1] |
Generators of the group modulo torsion |
j |
-778034/40401 |
j-invariant |
L |
5.3307573931641 |
L(r)(E,1)/r! |
Ω |
0.91939333673408 |
Real period |
R |
0.72476561175931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4824c2 38592by2 3216a2 |
Quadratic twists by: -4 8 -3 |