Atkin-Lehner |
3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585i |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2650752 |
Modular degree for the optimal curve |
Δ |
3.2468047425659E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 3 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3070913,1881946406] |
[a1,a2,a3,a4,a6] |
j |
1829811825149572201/185496826171875 |
j-invariant |
L |
0.99926681841714 |
L(r)(E,1)/r! |
Ω |
0.16654446628087 |
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 |
27195q1 81585w1 |
Quadratic twists by: -3 -7 |