Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bw |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-57203718750000 = -1 · 24 · 310 · 59 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8250,221875] |
[a1,a2,a3,a4,a6] |
Generators |
[132573:2682238:343] |
Generators of the group modulo torsion |
j |
2725888/2511 |
j-invariant |
L |
8.1793021116732 |
L(r)(E,1)/r! |
Ω |
0.40986616598771 |
Real period |
R |
9.9780156990298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800cg1 37200z1 111600bx1 |
Quadratic twists by: -4 -3 5 |