Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39672i |
Isogeny class |
Conductor |
39672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3296981232 = -1 · 24 · 39 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -1 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5319,-149337] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:12825:8] |
Generators of the group modulo torsion |
j |
-52844818176/10469 |
j-invariant |
L |
7.9066411714583 |
L(r)(E,1)/r! |
Ω |
0.27951614616754 |
Real period |
R |
3.5358606648785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79344d1 39672b1 |
Quadratic twists by: -4 -3 |