Atkin-Lehner |
2- 3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280t |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
197964900000000 = 28 · 32 · 58 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1172500,489062500] |
[a1,a2,a3,a4,a6] |
Generators |
[640:-630:1] |
Generators of the group modulo torsion |
j |
696342129644868840016/773300390625 |
j-invariant |
L |
5.8900413454216 |
L(r)(E,1)/r! |
Ω |
0.47609897234672 |
Real period |
R |
0.77321650638014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112560s2 |
Quadratic twists by: -4 |