Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dz |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1568589623419392000 = -1 · 212 · 312 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,182868,52201856] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:6860:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
7.6840734381207 |
L(r)(E,1)/r! |
Ω |
0.18620126727764 |
Real period |
R |
1.7194819953643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dx2 23520b2 10080bl2 |
Quadratic twists by: -4 -3 -7 |