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 |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1393107421129408512 = 216 · 35 · 117 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-698535,217129653] |
[a1,a2,a3,a4,a6] |
j |
21278111797932625/786372820992 |
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 |
4422k1 |
Quadratic twists by: -11 |