Atkin-Lehner |
2- 3- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bk |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
28926906624 = 28 · 37 · 7 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29111,1918991] |
[a1,a2,a3,a4,a6] |
j |
3742429004759593/39680256 |
j-invariant |
L |
4.2725791686748 |
L(r)(E,1)/r! |
Ω |
1.0681447730871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28182h1 |
Quadratic twists by: -3 |