Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728bc |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-2369938176 = -1 · 28 · 38 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5237,144159] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-18:1] |
Generators of the group modulo torsion |
j |
-62060374786048/9257571 |
j-invariant |
L |
5.1791365221754 |
L(r)(E,1)/r! |
Ω |
1.4039235997281 |
Real period |
R |
0.23056527627951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16932c1 |
Quadratic twists by: -4 |