Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642a |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
217104485580626688 = 28 · 310 · 118 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11075495,14182442421] |
[a1,a2,a3,a4,a6] |
j |
84811959745378476625/122549822208 |
j-invariant |
L |
1.0724176411547 |
L(r)(E,1)/r! |
Ω |
0.26810441021133 |
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 |
4422k2 |
Quadratic twists by: -11 |