Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560r |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3.4872071165092E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22655052,-41407190496] |
[a1,a2,a3,a4,a6] |
Generators |
[-2667:6615:1] |
Generators of the group modulo torsion |
j |
135574940230848/367653125 |
j-invariant |
L |
6.4034891771878 |
L(r)(E,1)/r! |
Ω |
0.069211629429742 |
Real period |
R |
2.313010555356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cp2 70560ci2 10080c2 |
Quadratic twists by: -4 -3 -7 |