Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560ct |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-38182374604800 = -1 · 221 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498252,135370096] |
[a1,a2,a3,a4,a6] |
Generators |
[392:540:1] |
Generators of the group modulo torsion |
j |
-71581931663761/199800 |
j-invariant |
L |
9.0016167632141 |
L(r)(E,1)/r! |
Ω |
0.5633170392476 |
Real period |
R |
0.99872897015672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fv1 3330h1 35520x1 |
Quadratic twists by: -4 8 -3 |