Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bc |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
124491239953920 = 29 · 310 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165963,26017922] |
[a1,a2,a3,a4,a6] |
Generators |
[434:5978:1] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
4.4162780248374 |
L(r)(E,1)/r! |
Ω |
0.57285464911764 |
Real period |
R |
3.8546235341726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dj4 23520bk4 10080bc2 |
Quadratic twists by: -4 -3 -7 |