Atkin-Lehner |
2- 3- 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56280z |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
620817926400 = 28 · 32 · 52 · 74 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13140,-582912] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:38610:1] |
Generators of the group modulo torsion |
j |
980173357047376/2425070025 |
j-invariant |
L |
8.7054242312251 |
L(r)(E,1)/r! |
Ω |
0.44597707028777 |
Real period |
R |
4.8799729914455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112560k2 |
Quadratic twists by: -4 |