Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487k |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-87386693466178323 = -1 · 38 · 72 · 437 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 1 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,110940,-19877] |
[a1,a2,a3,a4,a6] |
j |
32768000/18963 |
j-invariant |
L |
1.6251559426981 |
L(r)(E,1)/r! |
Ω |
0.20314449124386 |
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 |
38829d1 2709a1 |
Quadratic twists by: -3 -43 |