Atkin-Lehner |
2- 3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39468j |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
87352314192 = 24 · 38 · 112 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1145,-4896] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:69:1] [-23:99:1] |
Generators of the group modulo torsion |
j |
10384830939136/5459519637 |
j-invariant |
L |
7.7956104056719 |
L(r)(E,1)/r! |
Ω |
0.87023893173681 |
Real period |
R |
0.37325048143741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404f1 |
Quadratic twists by: -3 |