Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664cd |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-14211946119168 = -1 · 225 · 36 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3555,198882] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:512:1] |
Generators of the group modulo torsion |
j |
-1664006625/4759552 |
j-invariant |
L |
5.2185084090099 |
L(r)(E,1)/r! |
Ω |
0.62004403882168 |
Real period |
R |
1.0520439040714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973647 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10458c1 9296b1 |
Quadratic twists by: -4 -3 |