Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560dx |
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 |
[548:14580:1] |
Generators of the group modulo torsion |
j |
1925134784/4465125 |
j-invariant |
L |
7.4390142222034 |
L(r)(E,1)/r! |
Ω |
0.1385155318061 |
Real period |
R |
2.237719639714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dz2 23520p2 10080bq2 |
Quadratic twists by: -4 -3 -7 |