Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bf |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1403264565248000000 = -1 · 223 · 56 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 1 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1843408,-965640812] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
0.51820481599693 |
L(r)(E,1)/r! |
Ω |
0.064775601999128 |
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 |
4550u1 1456l1 |
Quadratic twists by: -4 5 |