Atkin-Lehner |
2+ 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400l |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-12293985423744000 = -1 · 210 · 39 · 53 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3352,5332992] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:2162:1] |
Generators of the group modulo torsion |
j |
32530909324/96046761123 |
j-invariant |
L |
5.1838016252871 |
L(r)(E,1)/r! |
Ω |
0.3146499108298 |
Real period |
R |
2.0593528898523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200y1 56400y1 |
Quadratic twists by: -4 5 |