Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bw |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1382821134336 = 220 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21324,1197200] |
[a1,a2,a3,a4,a6] |
Generators |
[32:740:1] |
Generators of the group modulo torsion |
j |
5611284433/7236 |
j-invariant |
L |
6.5870410386818 |
L(r)(E,1)/r! |
Ω |
0.85271560385349 |
Real period |
R |
3.862390349676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38592bc1 9648r1 12864bb1 |
Quadratic twists by: -4 8 -3 |