Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128d |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-436257008123904 = -1 · 233 · 35 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 11+ -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4799,995137] |
[a1,a2,a3,a4,a6] |
j |
46617130799/1664188416 |
j-invariant |
L |
0.79946369942331 |
L(r)(E,1)/r! |
Ω |
0.39973184971099 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40128by1 1254k1 120384br1 |
Quadratic twists by: -4 8 -3 |