Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784m |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-324243172828848 = -1 · 24 · 3 · 72 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1239,866100] |
[a1,a2,a3,a4,a6] |
Generators |
[44:948:1] [368:7098:1] |
Generators of the group modulo torsion |
j |
-2725888/4198467 |
j-invariant |
L |
10.347063337422 |
L(r)(E,1)/r! |
Ω |
0.43685459087619 |
Real period |
R |
11.842685819872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392g1 4368m1 |
Quadratic twists by: -4 13 |