Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728ba |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-18422016 = -1 · 28 · 3 · 172 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340,2312] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-17029316176/71961 |
j-invariant |
L |
9.8438245142138 |
L(r)(E,1)/r! |
Ω |
2.189098031282 |
Real period |
R |
2.2483745299381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16932b1 |
Quadratic twists by: -4 |