Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bh |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-172716046024704 = -1 · 217 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 3 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20336,1289664] |
[a1,a2,a3,a4,a6] |
j |
-47045881/8736 |
j-invariant |
L |
2.196129010935 |
L(r)(E,1)/r! |
Ω |
0.54903225213954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098bb1 4368r1 |
Quadratic twists by: -4 13 |