Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280n |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4223251200 = -1 · 28 · 3 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,244,-2844] |
[a1,a2,a3,a4,a6] |
Generators |
[16:70:1] |
Generators of the group modulo torsion |
j |
6249886256/16497075 |
j-invariant |
L |
3.8288008688544 |
L(r)(E,1)/r! |
Ω |
0.71322677496575 |
Real period |
R |
0.67103497149385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560p2 |
Quadratic twists by: -4 |