Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176m |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.3328611921511E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15701790,-24583874159] |
[a1,a2,a3,a4,a6] |
j |
-7604375980288000/236743082667 |
j-invariant |
L |
2.725329760949 |
L(r)(E,1)/r! |
Ω |
0.037851801803721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392z1 6552t1 |
Quadratic twists by: -3 13 |