Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56856d |
Isogeny class |
Conductor |
56856 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
47748123648 = 210 · 39 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -3 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9392,-353328] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:12:1] |
Generators of the group modulo torsion |
j |
89483764724932/46629027 |
j-invariant |
L |
7.6428792085709 |
L(r)(E,1)/r! |
Ω |
0.48497545952403 |
Real period |
R |
0.87551729091304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113712c1 |
Quadratic twists by: -4 |