Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260d |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-1.4807649439831E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19335661,-33238661735] |
[a1,a2,a3,a4,a6] |
j |
-26544380795812519936/491652123046875 |
j-invariant |
L |
1.9417642281383 |
L(r)(E,1)/r! |
Ω |
0.035958595879699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12180h1 |
Quadratic twists by: -7 |