Atkin-Lehner |
2- 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fa |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
-8.1123865104627E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2249853,436689794] |
[a1,a2,a3,a4,a6] |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
0.79296242381647 |
L(r)(E,1)/r! |
Ω |
0.099120305497483 |
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 |
10710k1 28560cl1 |
Quadratic twists by: -4 -3 |