Atkin-Lehner |
2+ 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128c |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
248813275392 = 28 · 39 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2511,-42066] |
[a1,a2,a3,a4,a6] |
j |
347482224/49379 |
j-invariant |
L |
1.3616254382107 |
L(r)(E,1)/r! |
Ω |
0.68081282206788 |
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 |
53064n1 106128f1 |
Quadratic twists by: -4 -3 |